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Unit 6 Functions Review

Total questions: 52

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
2.
a)
Function
b)
Not a Function
3.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
4.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
5.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
6.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
7.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
8.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
9.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
10.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
11.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
12.
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)
13.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
14.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
15.

Choose the graph above that best represents a tomato plant that grows quickly at first, remains a constant height during a dry spell, then grows at a steady pace.

a)

Graph A

b)

Graph B

c)

Graph C

16.

Choose the graph that best represents a person walking to school, stays at school for some time, and then walks back home.

a)

Graph A

b)

Graph B

c)

Graph C

17.

Choose the graph that best represents the temperature of the water in a glass that rose steadily for several hours until it reached room temperature, then remained constant.

a)

Graph A

b)

Graph B

c)

Graph C

18.

What is the value of y when x = 4 in this equation:

y = 3x - 7

a)

0

b)

5

c)

14

d)

19

19.

If  y=2x2+3xy=2x^2+3x  then,  what is y when x = −9?what\ is\ y\ when\ x\ =\ -9?   



Type only the value. 



(a)  

20.

If y=−2n−5y=-2n-5 , what is y when n = -11?


a)

27

b)

17

c)

-27

d)

-17

21.

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

22.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?

a)

$500

b)

$200

c)

$150

23.

Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form.

Attorney B charges $150 for the initial meeting and $175 per hour. Find the charge for 26 hours of work for each attorney. Which is the better deal?

a)

Attorney A

b)

Attorney B

24.

Evaluate y = x+3 when x = -2

a)

-1

b)

1

c)

5

d)

-5

25.

What is the rabbit's constant speed/rate of change?

a)

20 feet/minute

b)

30 feet/minute

c)

40 feet/minute

d)

50 feet/minute

26.

What is the equation for the following graph?

a)

y=3xy=3x

b)

y=32xy=\frac{3}{2}x

c)

y=12x+1y=\frac{1}{2}x+1

d)

y=32x+10y=\frac{3}{2}x+10

27.

Which interpretation makes the most sense for this distance vs. time graph?

a)

A biker leaves on the course that begins with a small hill. The biker then bikes up a larger hill and crosses a flat portion before quickly heading down a steep descent.

b)

A hiker begins hiking, but then has to head back to his car to get his water bottle in the car. He then starts his hike again and hikes for some time. The hiker stops to tie his shoe and then decides to turn around and head back to his car.

c)

A driver leaves her house in her car, and stops at her friend's house. She then drives at a constant speed to the store. She goes in the store and buys some groceries. After, she returns home.

28.
The cost is a linear function of the number of lollipops.  Which statement describes the rate of change of this function?
a)
The cost increase $0.25 each time 1 lollipop is added
b)
The cost increases $0.75 each time 1 lollipop is added
c)
The cost increases $1.50 each time 3 lollipops are added
d)
The cost increases $6.00 each time 3 lollipops are added
29.
If the pattern continues, what will be the cost for electricity for 16 hours?
a)
$16
b)
$80
c)
$160
d)
$800
30.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

31.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

32.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

33.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

34.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

35.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

36.
a)

This is the graph of a linear equation

b)

This is the graph of a non linear equation

37.
Is the representation linear or non-linear? 
a)
Linear
b)
Non-Linear
38.
Is the representation linear or non-linear? 
a)
Linear
b)
Non-Linear
39.
Which graph(s) show nonlinear functions?
a)
Graph I, only
b)
Graph II, only
c)
Graph I and Graph II, only.
d)
Graph I, Graph II, and Graph III
40.
Sonia has $40 in her lunch account and pays $2 each day to eat lunch.
a)
Linear
b)
Non-linear
41.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
Linear
b)
Non-Linear
42.
Ted runs 1 block, then 2 blocks, then 4 blocks, then 8 blocks.
a)
Linear
b)
Nonlinear
43.
What is happening in this graph from point B to C?
a)
The object is going down a hill.
b)
The object is returning to its starting location.
c)
The object is slowing down.
d)
The object is staying still.
44.
According to the graph how far does the person travel in the first 5 seconds?
a)
2 m
b)
10 m
c)
0 m
d)
5 m
45.
Describe the situation.
a)
Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.
b)
Sales stay constant, then decrease at a constant rate, and increase slowly.  
46.
How long did it take this object to travel 10 m?
a)
0 s
b)
10 s
c)
15 s
d)
20 s
47.
What does this graph represent?
a)
Constant speed
b)
Acceleration
c)
Not moving
48.

This graph represents Matthew taking his dogs out for a walk. Along which section of the graph is Matthew moving the fastest?

a)

A

b)

B

c)

C

d)

E

49.
Taylor  is riding her bike to the store. Which best describes her trip along section E?
a)
Stopping
b)
Heading to the store
c)
Heading home
d)
At the store
50.
Dave is hiking on a mountain.  The graph shows his decent from the peak of the mountain. Which best describes his actions along B?
a)
Climbing down the mountain
b)
Climbing up the mountain
c)
Stopped for bird watching
d)
Base Jumping
51.
Mr. Alison drives in city traffic to the gas station. He also shops for bread and milk at the gas station. After filling up his car, he drive home on the highway. Which graph represents this situation?
a)
Graph A
b)
Graph B
c)
Graph C
52.
This graph is about a car. Describe the speed of the car along A?
a)
Parked
b)
Moving at a constant speed
c)
Speed is increasing
d)
Speed is decreasing

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