Answer: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "c5" was replaced by "c^5". 1 more similar replacement(s).
STEP
1
:
c4
Simplify ——
c5
Dividing exponential expressions :
1.1 c4 divided by c5 = c(4 - 5) = c(-1) = 1/c1 = 1/c
Final result :
1
—
c
Step-by-step explanation: hope this helps
PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG
Using your ruler to measure, draw segment EF so that it bisects RS shown below. Mark their intersection
as point A. Mark all relevant measures to justify your answer.
Using the segment addition postulate and the bisection concept, the segment EF bisecting RS is given at the end of the answer.
What is the segment addition postulate?The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.
From this, the bisection concept is derived, which is when a line crosses a segment exactly at the segment's midpoint, meaning that point A is the midpoint of RS.
The illustration of this situation is given at the end of the answer.
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Need help asap
will give u brainliest
A student increased in height from 1.52m to 1.68m, calculate the percentage increase (show your working)
The percentage increase in the student's height is 10.52%.
Here we are given that a student's height increases from 1.52m to 1.68m.
Thus, the absolute increase in the student's height will be-
1.68 - 1.52 = 0.16 meters.
Now, we need to find the percentage increase in the student's height.
The formula for calculating percentage increase is given by-
Percentage increase = change in value/ initial value * 100
Here, the change in value is 0.16 meters and the initial value is 1.52 meters.
Thus, percentage increase in height = 0.16 / 1.52 *100
= 1600/ 152
= 400/ 38
= 200/ 19
= 10.52%
Thus, the increase in the student's height is 10.52%.
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A thief steals an atm card and must randomly guess the correct -digit pin code from a -key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?.
The probability of a correct guess on the first try is 0.024%.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
A number between 0 and 1 is the probability of an event.
where,
P(E) = Number of Favorable Outcomes/Number of Total Outcomes
Because a thief steals an ATM card and must randomly guess the correct four-digit pin code from an eight-key keypad, and digit repetition is permitted, the following calculation must be performed to determine the probability of a correct guess on the first try:
8 [tex]*[/tex] 8 [tex]*[/tex] 8 [tex]*[/tex] 8 = X
[tex]8 ^ {4 }[/tex] = X
simplifying the above equation, we get
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 [tex]*[/tex] 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%.
The complete question is;
A thief steals an atm card and must randomly guess the correct four-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?
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HELP ME PLEASE....I HATE ALGEBRA Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it. (2, 4) (2, 1) (6, 12) (4, -5) (-2, 4) (2, -4) (6, -12) (-4, 5) Quadrilateral ABCD is reflected over the x-axis. arrowRight Quadrilateral ABCD is translated 2 units right and 1 unit down. arrowRight Quadrilateral ABCD is dilated about the origin by a scale factor of 3. arrowRight Quadrilateral ABCD is rotated 180° clockwise about the origin. arrowRight
Quadilateral ABCD is reflected over the x-axis. ---> (2, -4)
ABCD is translated 2 units right and 1 unit down. ---> (4, -5)
ABCD is dilated about the origin by a scale factor of 3. ---> (6, 12)
ABCD is rotated 180° clockwise about the origin. ---> (-2, 4)
What exactly is a quadrilateral?Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional shape. Concave and convex are the two most common forms. Additionally, there are numerous subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.
Which of these seven quadrilateral types are they?quadrilaterals come in a variety of forms.
Trapezium.
Parallelogram.
Rectangle.
Rhombus.
Square.
Kite.
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The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Answer: [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]
This is the same as writing y = (7/3)x - 2/3
=======================================================
Explanation:
The given equation is in y = mx+b form
m = -3/7 = slope
b = 4 = y intercept
Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3
The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.
We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]
We'll use the point-slope form to get...
[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]
This equation has a slope of 7/3 and y intercept of -2/3.
Kind of confused with this problem, if you can’t see the image properly it says, “Find the standard form for the equation of the line which passes through the point (10,-49) and which has a y intercept of 1.”
Answer:
See below
Step-by-step explanation:
find slope between 0,1 and 10, -49
m = (-49-1) / (10-0) = -5
slope intercept form
y = mx + b
y = -5 x +1 re=arrange
5x + y = 1
what is 2 plus 2?
2 + 2 =?
Answer:
4
Step-by-step explanation:
2+2=4
just like 2×2=4
its just 2 doubled
2 doubled equals 4
Answer:
8
Step-by-step explanation:
Please help and show how you did it!!
Answer
EAD= EBC true.
Step-by-step explanation:
Both triangles are equal. The line between AE and EB show the lines are equal. In turn this makes the sides AD and BC equal. DC are the same length as AE and EB. In short, all sides are equal so the triangles are the same.
The function f(x) = -x³-7x2²-7x+15 has zeros located at-5, -3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
Step-by-step explanation:
[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]
Multiply both parts of the equation by -1:
[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]
If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
The value of the variable x is found to be x = 9.
What is termed as angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is something that divides a shape or thing into two equal portions. An angle bisector is a ray that divides an angle into two equal components of the same measurement.A bisected angle divides the two sides in equals.
JKM = LKM
As, both are equal.
Then, each of these angles are 1/2 the angle JKL.
1/2 JKL = MKL
1/2 ×( 92) = 5x + 1
Further simplifying;
46 = 5x+1
Subtract 1 from each side
46-1 = 5x
45 = 5x
Divide each side by 5
45/5 = 5x/5
x = 9
Thus, the value of the unknown variable is found to be x = 9 units.
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An olympic swim the 200 m freestyle at a speed of 1.8 m/s. an olympic runner run the 200 m dash and 21.3 seconds how much faster was the runners speed in the swimmer speed to the nearest 10th of the meter per second?
Answer: 7.6
Step-by-step explanation:
For a show during the halftime break up a football game a stage will be set up on the field the center of the stage is on the 35 yard line if the distance from the center to the outer edges is 11 yards which equation can be used to find the location of the outer edges of the stage
The absolute value equation that can be used to find the location of the outer edges of the stage is:
|x - 35| = 11.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |2| = |-2| = 2.
For this problem, the outer edges are 11 yards away from the 35 yards line, hence the equation is:
|x - 35| = 11.
The solutions are given as follows:
x - 35 = -11 -> x = 24 yard line(first edge).x - 35 = 11 -> x = 46 yard line(second edge).More can be learned about the absolute value function at https://brainly.com/question/24734454
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PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
Answer and how to solve this
Step-by-step explanation:
When it says x = something, that basically means to replace the x with whatever it says x equals.
x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1
x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2
x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7
Hope this helps!! (:
If the probability that it will rain tomorrow is 1/5, what Is the probability that it will not rain tomorrow ?
• 4/5
• 3/5
• 2/5
• 2/10
Answer:
4/5
Step-by-step explanation:
because 1/5 + 4/5 = 1
What is a major area of jurisdiction for local law enforcement agencies
Answer:
Patrolling Communities.
Step-by-step explanation:
Bit much for this lol
if ABCD is dilated by a factor of 2 the coordinate of C’ would be
Cordniate of c would be (-11,-1).
by a factor of one half the cornet of C would be what? So let's list the coordinates of A. B. C. D. First. So a is at -4 -2. And B is at negative to positive too. C is at 2:04 and D is at two negative two. Okay. So if I'm going to dilate by a scale factor of one half, that means I'm going to divide everything by two. So a prime would be negative two comma negative one. So negative two negative one. Oops. Would be a prime. You erased that at the dot that I did. And then be prime would be at negative one comma one. So be prime would be at negative one, comma one. See prime Would be at 1:02 one comma two. And d prime would be at one comma negative 11 comma negative one
So therefore the cordinates of C would be (-11,-1)
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Help me please translations hw
The locations of the vertices are shown below:
(- 5, 4), (- 4, 4), (- 5, 2)(- 4, 1), (- 1, 2), (0, - 1), (- 2, - 5)(2, 5), (3, 4), (1, 2)(3, - 5), (- 2, - 3), (0, - 1)What are the coordinates of the images resulting from a translation?Herein we find four representations of polygons on Cartesian plane and we must determine the coordinates of the images generated by translation, a kind of rigid transformations. Translation is described by the following operation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorCase 1 (K(x, y) = (3, - 3), X(x, y) = (4, - 3), R(x, y) = (3, - 5), T(x, y) = (- 8, 7))
K'(x, y) = (3, - 3) + (- 8, 7) = (- 5, 4)
X'(x, y) = (4, - 3) + (- 8, 7) = (- 4, 4)
R'(x, y) = (3, - 5) + (- 8, 7) = (- 5, 2)
Case 2 (E(x, y) = (0, 2), X(x, y) = (3, 3), V(x, y) = (4, 0), Z(x, y) = (2, - 4), T(x, y) = (- 4, - 1))
E'(x, y) = (0, 2) + (- 4, - 1) = (- 4, 1)
X'(x, y) = (3, 3) + (- 4, - 1) = (- 1, 2)
V'(x, y) = (4, 0) + (- 4, - 1) = (0, - 1)
Z'(x, y) = (2, - 4) + (- 4, - 1) = (- 2, - 5)
Case 3 (G(x, y) = (- 4, 5), J(x, y) = (- 3, 4), U(x, y) = (- 5, 2), T(x, y) = (6, 0))
G'(x, y) = (- 4, 5) + (6, 0) = (2, 5)
J'(x, y) = (- 3, 4) + (6, 0) = (3, 4)
U'(x, y) = (- 5, 2) + (6, 0) = (1, 2)
Case 4 (V(x, y) = (0, 0), Y(x, y) = (- 5, 2), F(x, y) = (- 3, 4), T(x, y) = (3, - 5))
V'(x, y) = (0, 0) + (3, - 5) = (3, - 5)
Y'(x, y) = (- 5, 2) + (3, - 5) = (- 2, - 3)
F'(x, y) = (- 3, 4) + (3, - 5) = (0, - 1)
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Answer:
See attachments.
Step-by-step explanation:
A translation is a type of transformation that moves a figure left, right, up or down. Every point on the original figure is translated (moved) by the same distance in the same direction.
If a figure is to be moved left, subtract the number of units it is to be moved from the x-values.If a figure is to be moved right, add the number of units it is to be moved to the x-values.If a figure is to be moved up, add the number of units it is to be moved to the y-values.If a figure is to be moved down, subtract the number of units it is to be moved from the y-values.Question 1Coordinates of the given pre-image:
K = (3, -3)R = (3, -5)X = (4, -3)Given mapping rule:
[tex](x, y) \rightarrow (x-8, y+7)[/tex]
This tells us to subtract 8 from the x-values and add 7 to the y-values.
[tex]\sf \implies K(3,-3) \rightarrow K'(3-8, -3+7)=K'(-5,4)[/tex]
[tex]\sf \implies R(3,-5) \rightarrow R'(3-8, -5+7)=R'(-5,2)[/tex]
[tex]\sf \implies X(4,-3) \rightarrow X'(4-8, -3+7)=X'(-4,4)[/tex]
Question 2Coordinates of the given pre-image:
E = (0, 1)X = (3, 3)V = (4, 0)Z = (2, -4)Given mapping rule:
[tex](x, y) \rightarrow (x-4, y-1)[/tex]
This tells us to subtract 4 from the x-values and subtract 1 from the y-values.
[tex]\sf \implies E(0,1) \rightarrow E'(0-4, 1-1)=E'(-4,0)[/tex]
[tex]\sf \implies X(3,3) \rightarrow X'(3-4, 3-1)=X'(-1,2)[/tex]
[tex]\sf \implies V(4,0) \rightarrow V'(4-4, 0-1)=V'(0,-1)[/tex]
[tex]\sf \implies Z(2,-4) \rightarrow Z'(2-4, -4-1)=Z'(-2,-5)[/tex]
Question 3Coordinates of the given pre-image:
G = (-4, 5)J = (-3, 4)U = (-5, 2)Given mapping rule:
[tex](x, y) \rightarrow (x+6, y)[/tex]
This tells us to add 6 to the x-values and the y-values remain unchanged.
[tex]\sf \implies G(-4,5) \rightarrow G'(-4+6, 5)=G'(2,5)[/tex]
[tex]\sf \implies J(-3,4) \rightarrow J'(-3+6, 4)=J'(3,4)[/tex]
[tex]\sf \implies U(-5,2) \rightarrow U'(-5+6, 2)=U'(1,2)[/tex]
Question 4Coordinates of the given pre-image:
F = (-3, 4)V = (0, 0)Y = (-5, 2)Given mapping rule:
[tex](x, y) \rightarrow (x+3, y-5)[/tex]
This tells us to add 3 to the x-values and subtract 5 from the y-values.
[tex]\sf \implies F(-3,4) \rightarrow F'( -3+3, 4-5)=F'(0,-1)[/tex]
[tex]\sf \implies V(0,0) \rightarrow V'( 0+3, 0-5)=V'(3,-5)[/tex]
[tex]\sf \implies Y(-5,2) \rightarrow Y'( -5+3, 2-5)=Y'(-2,-3)[/tex]
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Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.
The function is 4|x-4|.
It is required to find the function g.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The original function is:
f(x)=|x|
Translation 4 units to the right we get,
f(x-4)=|x-4|
Horizontal stretch by a factor of 4
Multiplying by 4, so:
g(x)=4f(x-4)=4|x-4|
Therefore, the function is 4|x-4|.
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i need help on 9,10,11 please
9) The True Distance is 209 ft
10) The True Distance is; 66.5 ft
11) The True Height is; 57 ft
How to Interpret the Scale of a Map?We are given that the scale of the map is 1 in : 38 ft
This means that 1 inch represents 38 ft
9) Now, we want to find the true distance of 5.5 inches from the map. Thus;
True distance = (5.5 * 38)/1
True Distance = 209 ft
10) Now, we want to find the true distance of 1.75 inches from the map. Thus;
True distance = (1.75 * 38)/1
True Distance = 66.5 ft
11) We are given the scale is 1 in : 85 ft.
Thus, the true height of 1.5 inches is;
True height = (1.5 * 38)/1
True Height = 57 ft
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The graph shows the relationship between miles and kilometres.
a)
Convert 20 miles
to km.
b)
Convert 64 km
to miles.
By cross multiplication, we have found the following results:
a) 20 miles are equal to 32.180 kilometers.
b) 64 kilometers are equal to 39.776 miles.
How to convert a distance value into another distance unit
In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.
First, we must convert a distance of 20 miles to kilometers by cross multiplication:
x = 20 mi × (1.609 km / 1 mi)
x = 32.180 km
Second, we must convert a distance of 64 kilometers to miles by cross multiplication:
x = 64 km × (1 mi / 1.609 km)
x = 39.776 mi
RemarkThe graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.
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Answer:
here is the answer⬇️
Aramis showed the division of 6p2 9p 3 by 3p. a 3 b what are the values of a and b? a = 2p and b = p a = 3p and b = p a = and b = a = 2p and b =
A = 2p and B = 1/p are the values of a and b.
What does math division mean?
A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. Of course, in order to be fair, you should always pay each person the same amount.To divide this,
[tex]\frac{6p^{2} }{3p} = 2p[/tex]
Multiplying back through, we have
[tex]3p * 2p = 6p^{2}[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^{2} - 6p^{2} = 0[/tex]
Bring down the next term, 9p.
See how many times 3p goes into 9p = 9p/3p = 3
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
2p + 3 + 3/3p
The remainder term 3/3p will simplify to 1/1p or 1/p;
this gives us
2p + 3 + 1/p
Therefore, the answer is A = 2p and B = 1/p
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In a class, there are thirty-six students going on a field trip. One sixth
are bringing a lunch from home. How many are bringing their lunch
from home?
rewrite the following statements less formally, without using variables. determine, as best as you can, whether the statements are true or false
All of the statements are True when the expressions are evaluated using appropriate illustrations.
What are Real numbers?Real numbers are made up of both rational and irrational numbers. Real numbers include integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as 3, (22/7), and so on.STATEMENT: 1
Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.
As a result, the statement is correct.
[tex]1+\frac{1}{2}=1 \frac{1}{2}[/tex]
STATEMENT: 2
Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.
2² = 4; (1/3)² = 1/9STATEMENT: 3
All positive integers have a squared value that is greater than or equal to the value.
n = 2; n² = 2² = 44 > 2STATEMENT: 4
A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.
a = 3 ; b = - 4|a + b | = |3-4| ≤ |-3|+|4||-1| ≤ 3 + 4-1 ≤ 7Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.
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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.
a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.
d. For all real numbers a and b,|a+b|≤|a|+|b|
If everyone in a class scored 100 on a quiz, what is the standard deviation of quiz scores?
The standard deviation of quiz scores is 0.
What is the standard deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values of the set tend to be close to the mean (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a larger range.To find the standard deviation:
Let, the number of students = nx = 100Mean = n×x/n=xVariance = [tex]\frac{\sum(\bar{x}-x)^2}{n}[/tex]Variance = (x₁ - x)² + (x₂ - x)² + (x₃ - x)²/nV = 0Standard variance = √0Therefore, the standard deviation of quiz scores is 0.
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If
Δ
C
A
T
≅
Δ
D
O
G
, which statement must be true?
Answer:
Answer: mark me brainlest
Step-by-step explanation:
Answer is A.
A scientist has 20 grams of the radioactive isotope sodium-24. The isotope decays exponentially as shown in the table.
Time (hours)
Mass (grams)
5
15.9
10
12.6
15
10
20
7.9
25
6.3
30
5
Approximately what will the mass of the isotope be after 45 hours?
A 1.5 grams
B. 2.5 grams
C. 3.5 grams
D. 4.5 grams
The mass of the isotope after 45 hours is 2.5 grams.
Given, from the table we can find that when time is 10 hours,
the mass is 12.6 grams;
when time is 25 hours the mass is 6.3 grams .
And 12.6 × 1/2 = 6.3
Also we can find when time is 15 hours the mass is 10 grams,
when time is 30 hours, the mass is 5 grams as:
10 × 1/2 = 5
so we know that half life period is:
25 - 10 = 30 - 15 = 15 hours.
When time is 45 hours,
45 = 15+115
= 3 half life periods, so the mass is :
20 × 1/2 × 1/2 × 1/2
= 2.5 grams.
Hence the mass of the isotope after 45 hours is 2.5 grams.
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Name:
1.
O
a) Is the graph linear?
b) What is the domain?
c) What is the range?
d) What are the x and y intercepts?
e) Does the graph have symmetry? Type?
f) What are the extrema and end behavior? 20 points
The Graph is not linear.
To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)
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