Free Printable Unit 6- Functions (Intro) Unit Test Review

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Unit 6- Functions (Intro) Unit Test Review

Total questions: 57

Worksheet time: 4hrs 59mins

Name

Class

Date

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

Does this mapping diagram represent a function?

No, because an input value goes to multiple output values

Yes, because each input goes to one and only one output

Which set of values is a function?

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

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

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

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

Is this mapping a function or not a function?

Function

Not a Function

What is the RANGE of this graph?

-7<x<5

-7≤x<5

-3<y<1

-3≤y<1

What is the range of the following graph?

{-5, -1, 0 , 1, 5}

-4, -2, 0, 3, 6

(-4, 1) ( 6, 0)

(6, 0)

What is the domain of the function for this situation?

0<h<80

0≤h≤80

0≤t≤4.5

0<t<4.5

What is the Range?

-3 ≤ y < 2

-3 < y ≤ 2

-7 ≤ y ≤ 2

-7 ≤ y < 2

f(x)=4x+5
f(4)=

-11

-31

10.

f(x) = 3x² - 11
Find f(-5)

f(-5) = 64

f(-5) = -86

f(-5) = 214

f(-5) = -7

11.

Given f(x) = -4x - 10 and f(x) = 10. Find x

x = -5

x = 5

x = -50

x = 30

12.

What is the value of x when f(x) = 16?

x = 4 only

x = 4 and x = 8

x = 16

Not on the graph

13.

Evaluate f(33)

14.

Evaluate for f(4)

-3

15.

Is this table a function or not a function?

Function

Not a Function

16.

It is a function? Explain. Select all that applies.

Yes

Passes the Vertical Line Test.

Fails the Vertical Line Test.

17.

It is a function? Explain. Select all that applies.

Yes

Passes the Vertical Line Test.

Fails the Vertical Line Test.

18.

It is a function? Explain. Select all that applies.

Yes

Passes the Vertical Line Test.

Fails the Vertical Line Test.

19.

$f\left(x\right)=x^2-5x$

Find the output when the input is 4.

-4

126

20.

$y=3x^2-11$

When the input is -5, what is the output?

-86

214

-7

21.

What is the range of the given graph

$\left[-2,8\right]$

$\left[-2,2\right]$

$\left[-5,9\right]$

$\left[-5,5\right]$

22.

the set of all possible y-values

Domain

Range

Interval Notation

Inequality Notation

23.

the set of all possible x-values

Domain

Range

Interval Notation

Inequality Notation

24.

When identifying domain and range what symbol(s) is used when the value is not included?

( )

[ ]

≤ ≥

{ }

25.

What is the domain in inequality notation?

( -4 , 4 )

[ 1 , -3 )

-4 < x < 4

1 ≥ y > -3

26.

What is the domain in inequality notation?

[ -2 , 2 )

( 5 , 1 ]

-2 ≤ x < 2

5 > y ≥ 1

27.

What is the domain in inequality notation?

( -5 , 5 )

[-2 , -4 )

-5 < x < 5

-2 ≥ y > -4

28.

What is the domain in inequality notation?

[ -2 , 2 ]

[ 4 , -4 ]

-2 ≤ x ≤ 2

4 ≥ y ≥ -4

29.

What is the Domain?

-3 < x ≤ 3

-4 ≤ x < 5

-4 ≤ y ≤ 5

-3 < y ≤ 3

30.

Is the relation a function? Why.

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

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

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

31.

What is the Domain of this linear function?

-3 < x ≤ 5

x = -1

5 < x ≤ -3

-2 < x ≤ 6

32.

What is the range?

{-3, -1, 2, 4}

{0, 4, 7}

{0, 4, 4, 7}

{7, 4, 0}

33.

Identify the domain of the following relation:

{-6, 14, 2, 28}

{(-6,14), (0,32), (2,38), (4,44)}

{-6, 0, 2, 4}

{14, 32, 38, 44}

34.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

{-4, 4, 8, 9}

{-2, 3, 8, 10}

{(9, -2) ( 4, 3)}

{(8, 10) (-4, 8)}

35.

{1, 2, 3, 4, 5}

{-1, 1, 2, 3}

{1, 2, 3, 5}

[1, 5]

36.

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

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

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

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

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

37.

What is the domain of the graph?
Remember: Domain is x

1≤ x ≤ 4

1 < x < 4

1≤ y ≤ 4

1 < y < 4

38.

What is the domain of the graph?

y≥1

x ≥ 1

All real numbers

none of these

39.

What is the range of the graph?

y≥1

x≥1

All real numbers

none of these

40.

What is the domain?

-3 < y ≤ 3

-4 ≤ y ≤ 5

-4 ≤ x ≤ 5

-3 < x ≤ 3

41.

What is the range of the graph?

-4 < x ≤ 5

-4 ≤ x < 5

-3 < y < 3

-3 ≤ y ≤ 3

42.

All of the x values or inputs are called what?

Domain

Range

43.

All of the y values or outputs are called what?

Domain

Range

44.

Pedro is driving to Nevada. The distance d he has left to travel, based on the hours driving h, can be modeled by the function:

d(h) = 2100 - 70h

What kind of numbers can you use for the domain here?

all positive numbers; the hours just have to be ANY positive number

all real numbers; the hours can literally be anything

all positive numbers up to and including h = 30; this is because it takes 30 hours to get there (the function would stop then)

all positive WHOLE numbers since you can't drive for part of an hour

45.

RANGE is found by reading the ends of a graph from ___ to ___.

Right to left

Left to right

Bottom to top

Top to bottom

46.

DOMAIN is found by reading the ends of a graph from ___ to ___.

Right to left

Left to right

Bottom to top

Top to bottom

47.

A construction company uses the function f(p), where p is the number of people working on a project, to model the amount of money it takes to complete a project. A reasonable domain for this function would be

positive integers

positive real numbers

both positive and negative integers

both positive and negative real numbers

48.

A dolphin jumps out of the water and then back into the water. His jump could be graphed on a set of axes where x represents time and y represents distance above or below sea level. The domain for this graph is best represented using a set of

integers

positive integers

real numbers

positive real numbers

49.

George is driving from Orlando to Jacksonville. The distance between the two cities is approximately 250 miles. His average speed is 55 miles per hour. The function that represents how many miles George has left on his trip after z hours is f(z) = 250 – 55z

What is the input?

Cars

Miles left to travel

Hours

Roads

50.

A store sells self-serve frozen yogurt sundaes. The function C(w) represents the cost, in dollars, of a sundae weighing w ounces. An appropriate domain for the function would be

integers

rational numbers

nonnegative integers

nonnegative rational #s

51.

Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?

integers

whole numbers

irrational numbers

rational numbers

52.

A grocery store sells packages of beef. The function C(w) represents the cost, in dollars, of a package of beef weighing w pounds. The most appropriate domain for this function would be

integers

rational numbers

positive integers

positive rational numbers

53.

A taxi company charges a base fare of $3.50 plus $2 per mile traveled. The function C(m) represents the total cost, in dollars, of a ride for m miles traveled. An appropriate domain for the function would be:

All real numbers

Integers less than or equal to 0

All non-negative integers

All non-negative real numbers

54.

A movie streaming service charges a flat monthly fee of $12.99. The function C(n) represents the total cost, in dollars, for n months of service. An appropriate domain for the function would be:

all real numbers

integers less than or equal to 0

all integers greater than or equal to 0

all non-negative real numbers

55.

A landscaper charges $25 per hour for lawn care services. The function C(h) represents the total cost, in dollars, for h hours of work. An appropriate domain for the function would be:

integers

real numbers

real numbers greater than or equal to 0

integers greater than equal to 0

56.

A (a) is a relation where every (b) has exactly one (c) .

Choose from the below words

function

input

output

relation

57.

Find the value of $f\left(8\right)$

Reset

Unit 6- Functions (Intro) Unit Test Review

Total questions: 57

Worksheet time: 4hrs 59mins

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