Free Printable Functions/Function notation quick check

1.

In order to be a function the following must be true.

a)

each x value has only one y value

b)

each y value has only one x value

c)

each x has only one y & each y has only one x

d)

each x and y are equal

2.

a)

Function

b)

Not a Function

3.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

4.

Which of the following statements is true about a function?

a)

A graph passes the vertical line test

b)

A graph does not pass the veritcal line test.

5.

a)

Function

b)

Not a Function

6.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

7.

a)

Function

b)

Not a Function

8.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

9.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

10.

Is the relation a function?

a)

Yes

b)

No

11.

Is this set of ordered pairs a function and how can you tell?

a)

Yes its a function because no y values repeat

b)

No it's not a function because there are negative numbers

c)

No it isn't a function because an x value repeats but has different y values

d)

No it isn't a function because an y value repeats but has different x values

12.

.

a)

Function

b)

Not a Function

13.

Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}

a)

Yes

b)

No

14.

Look at this graph. Is the relation a function?

a)

yes

b)

no

15.

a)

Function

b)

Not a Function

16.

a)

Function

b)

Not a Function

17.

a)

Function

b)

Not a Function

18.

a)

Function

b)

Not a Function

19.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values paired 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 paired with it.

d)

No, because each x-value has only one y-value paired with it.

20.

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

21.

Is the graph pictured a function?

a)

Yes

b)

No

22.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

23.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

24.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

25.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

26.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

27.

a)

It is a function because each x has only one y.

b)

It's not a function because an x has multiple y's.

c)

It's not a function because a y has multiple x's.

d)

It is a function because each y has only one x.

28.

a)

It is a function because each x has only one y.

b)

It's not a function because an x has multiple y's.

c)

It's not a function because a y has multiple x's.

d)

It is a function because each y has only one x.

29.

a)

It is a function because each x has only one y.

b)

It's not a function because an x has multiple y's.

c)

It's not a function because a y has multiple x's.

d)

It is a function because each y has only one x.

30.

a)

It is a function because each x has only one y.

b)

It's not a function because an x has multiple y's.

c)

It's not a function because a y has multiple x's.

d)

It is a function because each y has only one x.

31.

Identify the function rule that best represents the following statement:
The total cost (C) for kilograms of beef (k) if each kilogram costs $2.55

a)

C = 2.55k

b)

C = 2.55 + k

c)

C = 2.55 - k

d)

C = 2.55k + 2.55

32.

Identify the function rule that best represents the following statement:
A bottle rocket is being launched from the roof of an 80 meter tall building. If the rocket travels straight up at a rate of 22 m/s, what is the total height of the rocket as a function of time?

a)

H = 108x

b)

H = 80 - 22x

c)

H = 80 + 22x

d)

H = 80x + 22

33.

Identify the function rule that best represents the following statement:
A soda machine sells drinks for 75 cents each. Let d represent the number of drinks bought and C represent the total cost.

a)

d = $0.75C

b)

d = $0.75 + C

c)

C = $0.75 + d

d)

C = $0.75d

34.

Identify the function rule that best represents the following statement:
An apple rolled off a 4 ft table and fell at an average velocity of 0.8 ft/sec. Let h represent the height off the ground of the apple and t the falling time.

a)

h = 4 - 0.8t

b)

h = 4 + 0.8t

c)

h = 4.8t

d)

h = 3.2t

35.

Identify the function rule that best represents the following statement:
The base price (P) of a pizza is $4.99 plus an additional $0.95 for each topping (t).

a)

P = 4.99 - 0.95t

b)

P = 4.99 + 0.95t

c)

P = 5.94t

d)

t = 4.99P + 0.95

36.

A plumber charges a service fee of $40 plus $25 per hour for labor.
(A) Write a function rule for the total cost of hiring the plumber for a job that takes x hours.
(B) How much would it cost to hire the plumber for a job that takes 4 hours?

a)

(A) y = 40 + 25x
(B) $140

b)

(A) y = 40x + 25
(B) $185

c)

(A) y = 40 + 25x
(B) $185

d)

(A) y = 40x + 25
(B) $140

37.

A car rental agency charges $28 per day to rent a car. They charge an additional $8 per day if the car comes installed with GPS. Which function rule best represents the total rental cost of a car with GPS installed for x days?

a)

y = 36x

b)

y = 28 + 8x

c)

y = 28x + 8

d)

y = 28 - 8x

38.

The school cafeteria has 285 cartons of milk in stock. Each day, a total of 60 cartons are sold. Which function rule best represents this situation?

a)

y = 285x + 60

b)

y = 285x - 60

c)

y = 285 - 60x

d)

y = 285 + 60x

39.

Cameron and Jess receive a certain amount of allowance every week. Jess gets $5 more than Cameron. Which function rule best represents this situation?

a)

J = 5C

b)

5 = C + J

c)

C = 5 + J

d)

J = 5 + C

40.

Give the value of the 10th term

a)

6

b)

7

c)

10

41.

Give the value of the 10th term.

a)

30

b)

48

c)

60

42.

Give the value of the 10th term.

a)

5

b)

4

c)

10

43.

Give the value of the 10th term

a)

24

b)

22

c)

21

44.

Give the function rule.

a)

10n

b)

14

c)

n+9

45.

Give the function rule.

a)

25

b)

n+4

c)

5n

46.

Give the function rule.

a)

x-4

b)

4

c)

4x

47.

Write the function rule for the following table.

a)

5x

b)

5x + 1

c)

x + 5

d)

x + 1

48.

Describe the value of each term as a function of its position. Write a function rule to find the value of the n-th term.

a)

n(6)

b)

n+6

c)

6n

d)

None of these

49.

Write the function rules that best represents Myles' age in terms of Molly's age where m represents Molly's age.

a)

2m + 1

b)

2m + 3

c)

m + 3

d)

m + 1

50.

Find the function rule.

a)

y = 2x

b)

y = 2x+3

c)

y = 3x+3

d)

y = -2x+3

51.

Write a function rule for the situation:

The cost (c) of renting a surfboard at $35 and hour (h).

a)

$c=35+h$

b)

$h=35c$

c)

$c=35-h$

d)

$c=35h$

52.

If the input is 5 for x+9, what is the output?

a)

14

b)

5

c)

4

d)

45

53.

What is the output (y) in the equation when x=2?

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

a)

3

b)

2

c)

10

d)

5

54.

If the input is 5 for x+9, what is the output?

a)

14

b)

5

c)

4

d)

45

55.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

56.

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

a)

-1

b)

1

c)

5

d)

-5

57.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

58.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

59.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

60.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

61.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

62.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

63.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

64.

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

a)

-1

b)

1

c)

5

d)

-5

65.

g(x) = 3x + 1
g(10) = ______

a)

14

b)

31

c)

15

d)

-31

66.

Let

h\left(x\right)=13-5x

What is

h\left(5\right)=

?

a)

$h\left(5\right)=12$

b)

$h\left(5\right)=3$

c)

$h\left(5\right)=-2$

d)

$h\left(5\right)=-12$

67.

If $f\left(x\right)=1.7x-11.9$
evaluate $f\left(6.8\right)$

(a)

68.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

69.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

70.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

71.

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

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

72.

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) }

73.

If g(x)=2x+5, what is the value of g(4)?

(a)

74.

Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?

a)

Ms. Brackemyer starts with 8 pencils and ends with 52.

b)

After 8 days, Ms. Brackemyer has 52 pencils.

c)

Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

d)

Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

75.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

76.

f(x) = -3x + 3
find f(0)

a)

0

b)

-3

c)

3

d)

-1

77.

a)

f(2) = 1

b)

f(2) = 2

c)

f(2) = 4

d)

f(2) = 7

78.

f(x) equals x-6. what is f(0)?

a)

0

b)

6

c)

-6

d)

1

79.

if f(x) equals x+-5, what is f(9)?

a)

-4

b)

1

c)

6

d)

4

80.

Translate the function notation into a coordinate point.

$f\left(-1\right)=5$

a)

$\left(-1,5\right)$

b)

$\left(1,5\right)$

c)

$\left(5,1\right)$

d)

$\left(5,-1\right)$

81.

Translate the coordinate pair into function notation.

\left(0,8\right)

a)

$f\left(0\right)=8$

b)

$f\left(0\right)=-8$

c)

$f\left(8\right)=0$

d)

$f\left(-8\right)=0$

82.

Given the graph,

find:

f\left(0\right)

a)

$f\left(0\right)=7$

b)

$f\left(0\right)=1$

c)

$f\left(0\right)=2$

d)

$f\left(0\right)=0$

83.

Given the graph,

find:

f\left(7\right)

a)

$f\left(7\right)=3$

b)

$f\left(7\right)=1$

c)

$f\left(7\right)=2$

d)

$f\left(7\right)=0$

84.

Given the graph,

find:

f\left(6\right)

a)

$f\left(6\right)=3$

b)

$f\left(6\right)=1$

c)

$f\left(6\right)=2$

d)

$f\left(6\right)=0$

85.

Given the graph,

find:

f\left(4\right)

a)

$f\left(4\right)=3$

b)

$f\left(4\right)=1$

c)

$f\left(4\right)=2$

d)

$f\left(4\right)=0$

86.

Given the graph,

find:

f\left(2\right)

a)

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

b)

$f\left(2\right)=4$

c)

$f\left(2\right)=3$

d)

$f\left(2\right)=0$

87.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

88.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

89.

Which statement describes the rate of change of the line?

a)

$20 each week

b)

$30 each week

c)

$25 each week

d)

$70 each week

90.

Elliot wants to sign up for a gym membership. The gym require a $35 fee to sign up, then $12 every month. Write an equation to find the amount Elliot will pay for his gym membership "y" after "x" amount of months.

a)

y = 35x + 12

b)

y = 12x + 35

c)

y = 12x - 35

91.

Mr. E has 25,000 hairs left on his head. Every day he loses 200 more hairs. Write an equation to find the number of hairs "y" Mr. E will have after "x" number of days.

a)

y = 200x - 25000

b)

y = 25000 - 200x

c)

y = 25000 x - 200

92.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$ ?

a)

2x

b)

5

c)

3

d)

10

93.

What is $f\left(5\right)$ for the function $f\left(x\right)=3\left(x-2\right)$ ?

a)

9

b)

13

c)

21

d)

-9

94.

A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?

a)

c = 12p + 3

b)

c = 12p

c)

c = 3p

d)

c = 12 + 3p

95.

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

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

96.

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

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

97.

The value of $f\left(4\right)$ = (a) .

98.

Lisa is going to the lake and wants to rent a canoe. She must pay an initial fee for lifejackets and safety gear, and then she pays an hourly rate. What is the initial fee for her safety gear?

a)

$9

b)

$12

c)

$1

d)

$10

99.

How many pages is Wendy reading each day for her club?

a)

32 pages per day

b)

10 pages per day

c)

12 pages per day

d)

11 pages per day

100.

Travis is saving money to buy a new bike. Which rule correctly shows this relationship?

a)

$f\left(x\right)=50x+100$

b)

$f\left(x\right)=75x+100$

c)

$f\left(x\right)=100x+50$

d)

$f\left(x\right)=150x$

101.

How tall was the tomato plant when it was first planted?

a)

2 inches

b)

3 inches

c)

4 inches

d)

5 inches

102.

Tom works as a referee at basketball games. He gets paid an initial fee to drive to the games and he earns money for every game he works. How much money does Tom get paid to drive to games?

a)

$50

b)

$30

c)

$10

d)

$5

103.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

104.

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

a)

the first hour to the second hour

b)

the second hour to the fourth hour

c)

the sixth hour to the eighth hour

d)

the eighth hour to the tenth hour

Functions/Function notation quick check

Total questions: 104

Worksheet time: 3hrs 28mins

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