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Functions & Slope Unit Review [8.15ab & 8.16]

Total questions: 70

Worksheet time: 2hrs 20mins

Name
Class
Date
1.

Is this mapping a function and how can you tell?

(Hint: click on the image to enlarge it)

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has 2 outputs.

d)

No it's not a function because the y value 5 has 2 inputs.

2.
Which of the following best describes a function?
a)
A special relationship where each x and y are individually paired
b)
A special relationship where each x value has only one y value 
c)
A special relationship where each y value has only one x value 
d)
A special relationship where each the x and y value and always equal 
3.

Does the graph represent a function?

(Hint: click on the image to enlarge it)

a)

Yes

b)

No

4.

Which mapping diagram is not a function?

a)
b)
c)
d)
5.

Identify all of the functions

a)
b)
c)
d)
e)
6.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

7.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

8.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
9.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

10.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

11.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

12.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
13.

Select the relations that represent a function. Select all that apply.

a)
b)
c)
d)
e)
14.

Hunter got his first job working at Publix making $12 per hour. Hunter's schedule allows him to work 10-15 hrs per week. The function P(h) = 12h represent the total amount of money Hunter makes working h hours. What is the independent and dependent variables in this function.

a)

Independent - Hours worked

Dependent - Total money made

b)

Independent - Total money made

Dependent - Hours worked

c)

Independent - $12 per hour

Dependent - Total money made

d)

Independent - Hours worked

Dependent - Total hours worked in a week

15.

What are the x values in a function? Select all that apply.

a)

Range

b)

Domain

c)

Input

d)

Output

e)

Dependent variable

16.

What are the y-values in a function? Select all that apply.

a)

Domain

b)

Range

c)

Independent variable

d)

Dependent variable

e)

Output

17.
How do you determine if a relation is a function? 
a)
The vertical line test crosses more than one point on the graph.
b)
The same y-values are mapped from the same x-values.
c)
The vertical line test crosses only one point on the graph.
d)
Each input is related to more than one output.
18.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
19.

For the function {(0,0), (1,3), (2,4), (4,1)}, write the domain and range.

a)

D: {0, 1, 2, 3, 4,}

R: {0, 1, 2, 3, 4}

b)

D:{0, 1, 2, 4}

R:{0, 1, 3, 4 }

c)

D:{0, 1, 3, 4}

R:{0, 1, 2, 4}

20.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
21.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
22.
Molly investigated if the age of students caused them to be better drivers. What is the independent variable?
a)
Type of car
b)
Skill of driving
c)
Age of student
23.
A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.
a)
money
b)
hours
24.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
25.

What is the equation of this line?

(Hint: click on the image to enlarge it)

a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
26.

Find the slope

(Hint: click on the image to enlarge it)

a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
27.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
28.

Write the equation of the line.

(Hint: click on the image to enlarge it)

a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
29.

Write the equation of the line.

(Hint: click on the image to enlarge it)

a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
30.

Find the slope.

(Hint: click on the image to enlarge it)

a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
31.

What is the slope of the line with the equation
y = −32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

−32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

−4-4  

32.

What is the y-intercept of the line with the equation
y = −2x + 4y\ =\ -2x\ +\ 4  

a)

−2-2  

b)

22  

c)

44  

d)

−4-4  

33.

Write the equation of the graph in slope-intercept form.

(Hint: click on the image to enlarge it)

a)

y=−2x−4y=-2x-4

b)

y=2x − 4y=2x\ -\ 4

c)

y=12x−4y=\frac{1}{2}x-4

d)

y=−12x−4y=-\frac{1}{2}x-4

34.
Find the slope between the two points.
(3, 7) and (-4, 2)
a)
7/5
b)
5/7
c)
2/3
d)
2
35.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
36.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
37.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
38.

What variable represents slope?

a)

s

b)

m

c)

a

d)

x

e)

y

39.

A line that has a slope of m = 0 is

a)

Horizontal

b)

Vertical

c)

really steep

d)

not so steep

40.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
41.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
42.
In the equation y=mx+b,
what does m represent?
a)
Nothing in particular
b)
The y-intercept
c)
The x-intercept
d)
Slope
43.
Name the slope
a)
3
b)
1
c)
-1x
d)
-1
44.
Name the y intercept
a)
-1
b)
7
c)
-1x
d)
-7
45.

Name the y intercept.

(Hint: click on the image to enlarge it)

a)
4
b)
-1
c)
1
d)
-4
46.

Name the slope.

(Hint: click on the image to enlarge it)

a)
3
b)
Zero slope
c)
Undefined
d)
1
47.
Name the slope
a)
Negative
b)
0 Slope
c)
Undefined
d)
Positive
48.
Name the slope
a)
2
b)
-2
c)
1/2
d)
1/2x
49.

Name the equation that is represented by the graph.

(Hint: click on the image to enlarge it)

a)
y=2x+4
b)
y=-2x+4
c)
y=2x-4
d)
y=-2x-4
50.
In the equation y=mx+b,
what does b represent?
a)
Slope
b)
x-intercept
c)
y-intercept
d)
Nothing significant 
51.

Name the slope.

(Hint: click on the image to enlarge it)

a)
Zero slope
b)
1
c)
Undefined
d)
-1
52.

What is the equation of this line?

(Hint: click on the image to enlarge it)

a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
53.

Find the slope-intercept equation.

(Hint: click on the image to enlarge it)

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

54.

Find the slope-intercept equation.

(Hint: click on the image to enlarge it)

a)

y = 2x + 3

b)

y = -2x +3

c)

y = 1/2 x+3

d)

y = -1/2 x+3

55.

Find the slope-intercept equation.

(Hint: click on the image to enlarge it)

a)

y = 3x + 5

b)

y = -3x + 5

c)

y = -1/3 x + 5

d)

y = -1/3 x - 5

56.

Find the slope-intercept equation.

(Hint: click on the image to enlarge it)

a)

y = x - 2

b)

y = -x - 2

c)

y = -2x

d)

y = -2

57.

What is the slope of this line?

(Hint: click on the image to enlarge it)

a)

m = 0

b)

m = undefined

c)

m = 3

d)

m = 1/3

58.

What is the equation of this line?

(Hint: click on the image to enlarge it)

a)

m = 0

b)

m = undefined

c)

y = 5

d)

x = 5

59.

Write the equation of the line.

(Hint: click on the image to enlarge it)

a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
60.

Which equation matches the graph? 

(Hint: click on the image to enlarge it)

a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
61.

Which is the graph of y= -x + 2? 

(Hint: click on the image to enlarge it)

a)
A
b)
B
c)
C
d)
D
62.

What is the slope (m) of the table?

a)

5

b)

2

c)

0

d)

1

63.

Write the equation of the line for the table.

a)

y = 5x + 2

b)

y = 2x + 5

c)

y = 2/5x

d)

y = 5/2x

64.

What is the slope (m) of the table?

a)

0

b)

3

c)

-3

d)

-1

65.

What is the slope (m) of the table?

a)

0

b)

-7

c)

7

d)

1

66.

Write the equation of the line in the table.

a)

y = x + 7

b)

y = -7x

c)

y = x - 7

d)

y = 1/7x -7

67.

What is the slope (m) of the table?

a)

0

b)

-5

c)

8

d)

5

68.

Which y - intercept and slope applies to the graph?

(Hint: click on the image to enlarge it)

a)

y - intercept = 2, slope = 2

b)

y - intercept = -2, slope = 1/2

c)

y - intercept = -2, slope = 2

d)

y - intercept = 1, slope = 2

69.

What is the coordinate for the y-intercept?

(Hint: click on the image to enlarge it)

a)
(0, 0)
b)
(0, -1)
c)
(0, 1)
d)
(0, -0)
70.

What is the y-intercept shown on the graph?

(Hint: click on the image to enlarge it)

a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.

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