Quiz about Functions Unit Review

Question 1

Is this mapping a function or not a function?

Accepted Answer

Not a Function

Answer

Function

Question 2

Is this graph a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 3

Is this table a function or not a function?

Accepted Answer

Not a Function

Answer

Function

Question 4

Is this graph a function or not a function?

Accepted Answer

Not a Function

Answer

Function

Question 5

Which set of values is a function?

Accepted Answer

(6,-5) (7, -3) (8, -1) (9, 1)

Answer

(9,5) (10,5) (9,-5) (10,-5)

Answer

(3,4) (4,-3) (7,4) (3, 8)

Answer

(2, -2) (5, 9) (5, -7) (1, 4)

Question 6

Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5)

Accepted Answer

(1, 9)

Answer

(3, 7)

Answer

(4, 1)

Answer

(2, 6)

Question 7

What is the name of the test that we do on a graph to see if it is a function?

Accepted Answer

vertical line test

Answer

horizontal line test

Answer

there isn't a name for it

Answer

slope line test

Question 8

Question 8.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

Is this graph a function or not a function?

Accepted Answer

Not a Function

Answer

Function

Question 10

f(x)=2x+1
If f(x)=4, what is the value of x?

Accepted Answer

3/2

Answer

2

Answer

1/2

Answer

4

Question 11

All of the y values or outputs are called what?

Accepted Answer

Range

Answer

Domain

Answer

Relation

Answer

Function

Question 12

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

Accepted Answer

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

Answer

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

Answer

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

Question 13

Evaluate f(-2) if f(x) = x+3

Accepted Answer

1

Answer

-1

Answer

5

Answer

-5

Question 14

Evaluate the function for f(9) if $$\ f\left(x\right)=\frac{3}{5}x+8$$ .

Accepted Answer

$$\frac{13}{5}$$

Answer

$$\frac{67}{5}$$

Answer

$$-\frac{13}{5}$$

Answer

$$-\frac{67}{5}$$

Question 15

Given the function, f, shown on the graph, what is the value of f(3)?

Accepted Answer

2

Answer

0

Answer

6

Answer

1

Question 16

If f(x) = 3x - 9, find f(5).

Accepted Answer

f(5) = 6

Answer

f(5) = 16

Answer

f(5) = -4

Answer

f(5) = 24

Question 17

How do you read f(x)?

Accepted Answer

"f of x"

Answer

"f x"

Answer

"f parenthesis x"

Answer

"f with an x inside parenthesis"

Question 18

Given h(x) = 5 - 9x, find h(8).

Accepted Answer

h(8) = -67

Answer

h(8) = -360

Answer

h(8) = 31

Answer

h(8) = 77

Question 19

f(x) is the same thing as ______.

Accepted Answer

y

Answer

x

Answer

input

Answer

an equation

Question 20

What point is represented by g(7) = 14 ?

Accepted Answer

(7,14)

Answer

(2,7)

Answer

(7,2)

Answer

(14,7)

Question 21

Find f(2)

Accepted Answer

5

Answer

4

Answer

3

Answer

0

Question 22

What is the domain of a relation?

Accepted Answer

the set of all x-values

Answer

the set of all y-values

Question 23

What is the DOMAIN of the above graph?

Accepted Answer

$$-5<x<4$$

Answer

$$-5<y<-2$$

Answer

$$-5\le x\le4$$

Answer

$$-5\le y\le-2$$

Question 24

What is the RANGE of the above graph?

Accepted Answer

$$-5<y<-2$$

Answer

$$-5<x<4$$

Answer

$$-5\le x\le4$$

Answer

$$-5\le y\le-2$$

Question 25

What is the correct DOMAIN and RANGE of the above graph?

Accepted Answer

$$All\ real\ numbers$$
$$y\ge-3$$

Answer

$$All\ real\ numbers$$
$$y\le-3$$

Answer

$$-4\le x\le2$$
$$y\ge-3$$

Answer

$$-4\le x\le2$$
$$y\le-3$$

Question 26

What is the correct DOMAIN of the above graph?

Accepted Answer

$$All\ real\ numbers$$

Answer

$$-6\le x\le6$$

Answer

$$-6<x<6$$

Answer

$$x\ge1$$

Answer

$$x\le-1$$

Question 27

What is the correct RANGE of the above graph?

Accepted Answer

$$All\ real\ numbers$$

Answer

$$-6<y\le6$$

Answer

$$-6<y<6$$

Answer

$$-6\le y<6$$

Answer

$$-6\le y\le6$$

Question 28

What is Mrs. Gordon's rate from 0 to 2 seconds?

Accepted Answer

2.5 feet per second

Answer

.4 feet per second

Answer

5 feet per second

Answer

.2 feet per second

Question 29

Calculate the average rate of change from 20 to 40 minutes.

Accepted Answer

-2 gallons per minute

Answer

-2 minutes per gallon

Answer

-20 minutes per gallon

Answer

-20 gallons per minute

Question 30

What is the average rate of change from x=0 to x=1

Accepted Answer

3

Answer

-3

Answer

0

Answer

2

Question 31

Find the average rate of change of Pete's height from 3 years old to 5 years old.

Accepted Answer

4 inches per year

Answer

2 inches per year

Answer

8 inches per year

Answer

2 years

Question 32

What is f(-1)?

Accepted Answer

-2

Answer

6

Answer

sqrt(2)

Answer

DNE

Question 33

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 34

Which of the following piecewise functions represents the graph above?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

none of these are correct.

Question 35

What is the domain of the graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 36

Find f(0)

Accepted Answer

4

Answer

-3

Answer

18

Answer

0

Question 37

Graph

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 38

Graph

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 39

Graph

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 40

Graph

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 41

Graph

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 42

Find f(2)

Accepted Answer

f(2) = 1

Answer

f(2) = 0

Answer

f(2) = 3

Answer

f(2) = 4

Question 43

Which of the piecewise functions matches this graph?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 44

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

Accepted Answer

The ball was kicked from the ground and it was in the air for 4 seconds.

Answer

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

Answer

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

Answer

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

Question 45

Given the graph of f(x), what does f(6) = 30 mean in context?

Accepted Answer

When 6 books are sold, the store makes $30

Answer

When 30 books are sold, the store makes $6

Answer

When 6 books are sold, the store makes $36

Answer

The store makes $5 per book.

Question 46

Given this table of the function f(x), find x when f(x)=15 and explain what it means in context.

Accepted Answer

f(1) = 15 means after 1 week the farmer has 15 pounds of soil.

Answer

f(1) = 15 means the farmer increases his soli by 15%

Answer

f(15) = 1 means after 15 weeks the farmer has 1 pound of soil.

Answer

f(1) = 15 means after 1 week the farmer has 16 pounds of soil.

Question 47

What does f(1990)=214 mean in the context of the problem?

Accepted Answer

In 1990 there were 214 million people with health insurance

Answer

In 214, there were 1990 people with health insurance

Answer

When there are 1990 people, the year is 214

Answer

None of these

Question 48

The math club goes to an amusement park. Student tickets cost $10 each. The bus costs $28. This is expressed as f(x) = 10x + 28. Find f(10) and explain what it means.

Accepted Answer

f(10) = 128; It costs $128 for 10 students can go on the trip.

Answer

f(10) = 100; It costs $4100 for 10 students to go on the trip.

Answer

f(128) = 10; It costs $10 for 128 students to go on the trip.

Answer

f(10) = 128; It costs $10 for 128 students can go on the trip.

Question 49

The function $W\left(x\right)$ where $x=$ inches of rain and $W\left(x\right)=$ number of wildflowers growing.
Interpret $W\left(5\right)=75$ .

Accepted Answer

With 5 inches of rain, there are 75 wildflowers growing.

Answer

With 75 inches of rain, there are 5 wildflowers growing.

Answer

When it rains for 5 days there are 75 wildflowers growing.

Answer

There are 75 wildflowers growing.

Question 50

The speed of the baseball is a function of the time since the baseball was hit by a bat. What does f(2) = 80 represent in this situation?

Accepted Answer

After 2 seconds the baseball is traveling at 80mph

Answer

After 80 seconds the baseball is traveling at 2mph

Answer

The baseball traveled 80mph for 2 seconds

Answer

The baseball traveled 2mph for 80 seconds

Question 51

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Interpret average rate of change from day 0 to day 5.

Accepted Answer

The store lost 143.3 popular trading cards each day.

Answer

The store gained 143.3 popular trading cards each day.

Answer

The store lost 143.3 popular trading cards each year.

Answer

The store lost 0.007 popular trading cards each day.

Question 52

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Interpret average rate of change from day 5 to day 15.

Accepted Answer

The store lost 75.5 popular trading cards each day.

Answer

The store gained 75.5 popular trading cards each day.

Answer

The store lost 75.5 popular trading cards each year.

Answer

The store lost 0.013 popular trading cards each day.

Question 53

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 15 to day 20.

Accepted Answer

-38 decks per day

Answer

38 decks per day

Answer

-0.03 decks per day

Answer

0.03 decks per day

Question 54

The number of decks of popular trading cards is a function f of the number of days d since the shipment arrived.

Calculate the average rate of change from day 5 to day 20.

Accepted Answer

-63 decks per day

Answer

-73 decks per day

Answer

-83 decks per day

Answer

-53 decks per day

Question 55

The graph shows the number of computers that have been infected with a virus, c(d), d days after the computer virus was first reported.

What is the average rate of change between 3 and 5 days?

Accepted Answer

96 computers per day

Answer

64 computers per day

Answer

192 computers per day

Answer

32 computers per day

Question 56

Find f(-2)

Accepted Answer

3

Answer

8

Answer

2.5

Answer

6

Answer

-3

Question 57

Which of the following is true about

$$f\left(2\right)=5$$

Accepted Answer

2 is the input

Answer

5 is the independent variable

Answer

there is no input

Answer

5 is the input

Answer

2 is the same as 5 and are both inputs

Question 58

Select all that apply.

f(x) is the same thing as ______.

Accepted Answer

y

Accepted Answer

output

Answer

x

Answer

input

Answer

independent variable

Question 59

If $$f\left(x\right)=5x-25$$ what is x if $$f\left(x\right)=10$$

Accepted Answer

7

Answer

5

Answer

25

Answer

-25

Answer

0

Functions Unit Review

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