Free Printable Functions

1.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

2.

All of the x values of a relation are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

3.

All of the y values of a relation are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

4.

Which of the following is not a function?

a)

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

b)

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

c)

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

d)

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

5.

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

a)

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

b)

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

c)

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

6.

A relation where each x value has exactly one y value is a

a)

range

b)

inequality

c)

function

d)

equation

7.

Is this table a function or not a function?

a)

Function

b)

Not a Function

8.

Is this table a function or not a function?

a)

Function

b)

Not a Function

9.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

10.

Is this a function?

a)

Yes

b)

No

11.

Is this a function?

a)

Yes

b)

No

12.

1. A list of numbers that are used to substitute one variable, such as within an equation of a line and other functions, to find the value of the other variable, or missing number.

a)

Table of Values

b)

Graph

c)

Ordered Pairs

d)

Equation

13.

2. It be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

a)

Table of Values

b)

Graph

c)

Ordered Pairs

d)

Equations

14.

4. The picture below represents what?

a)

Table of Values

b)

Mapping Diagram

c)

Ordered Pairs

d)

Equations

15.

5. A function is a special type of relation.

a)

True

b)

False

16.

a)

Function

b)

Not Function

17.

a)

Function

b)

Not Function

18.

a)

Function

b)

Not Function

19.

1. Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

a)

The relation is a function because no value in the domain goes to multiple values in the range.

b)

The relation is a function because all values in the range are different.

c)

The relation is not a function because one value in the domain goes to multiple values in the range.

d)

The relation is not a function because there is an ordered pair where the domain is equal to the range.

20.

Which choice also represents the relation shown in the sets below as correct ordered pairs?

a)

{(1,2),(2,4)}

b)

{(2,1),(4,2),(6,2)}

c)

{(1,2),(2,4),(2,6)}

d)

{(2,2),(2,4),(2,6)}

21.

Is the relation above a function?

a)

Yes, because it doesn’t show any repeating 𝑥 values in the domain.

b)

Yes, because every 𝑦 value in the range is different.

c)

No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

d)

No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

22.

If 𝑓(𝑥)=2𝑥+4, which of the following domain values would cause 𝑓(𝑥)=10?

a)

x = 10

b)

x = 3

c)

x = 6

d)

x =5

23.

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

24.

A horizontal line on a graph is a function. True or False.

a)

True

b)

False

25.

Is this a function?

a)

Yes

b)

No

26.

$Given\ f\left(x\right)=\frac{3}{2}x+5\ what\ is\ f\left(12\right)?$

a)

$\frac{43}{2}$

b)

$20$

c)

$23$

d)

$5$

27.

Complete the operation and evaluate.

a)

b)

c)

d)

28.

$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$
Find $\left(f\cdot g\right)\left(1\right)$

a)

-2

b)

2

c)

-12

d)

12

29.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f+g\right)\left(x\right)=$

a)

$5x^2+1$

b)

$5x^2-3$

c)

$6x+1$

d)

$6x-3$

30.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

a)

-4x - 3

b)

-4x +1

c)

6x + 1

d)

6x - 3

31.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

a)

$\frac{x-1}{5x-2}$

b)

$\frac{5x-2}{x-1}$

c)

$\frac{-1}{3}$

d)

$-3$

32.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

a)

$2x^2-8x-8$

b)

$2x^2+8x-8$

c)

$2x^2-8x$

d)

$2x^2+8x$

33.

Find f(2) if f(x)= 3x-9

a)

0

b)

2

c)

3

d)

-3

34.

If $f\left(x\right)\ =\ x^2-2$ and $g\left(x\right)=x-6$ , then $\left(f\circ g\right)\left(x\right)=$

a)

$x^2+34$

b)

$x^2-12x+34$

c)

$x^2-8$

d)

$x^2+6x-2$

35.

Find $(f-g)(2)$ if $f(x)=4x+10$ and $g(x)=3x-7$

(a)

36.

If $f(n)=x^2+1$ and $g(n)=2x-5$ Find $f(n)-g(n)$

a)

$x^2-2x+6$

b)

$-x^2+2x+4$

c)

$-x^2-2x-6$

d)

$x^2-2x-4$

37.

If $f(x)=x^2+5$ and $g(x)=2x^3-1$ ,

find $\left(\frac{f}{g}\right)\left(-3\right)$ .

a)

-14/55

b)

14/55

c)

2

d)

-2

38.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$3x^4-24x^3+8x^2+32x-16$

b)

$3x^4-8x-16$

c)

$3x^4-24x^3+8x^2-32x-16$

d)

$3x^4-24x^3+16x^2+32x-16$

39.

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(f\circ g\right)\left(x\right)=$

a)

$3x-2$

b)

$3x+8$

c)

$3x^2+8x-35$

d)

$3x-12$

40.

Given $f(x)=x^2+5$ and $g(x)=2x^3-1$ , find $\left(\frac{f}{g}\right)\left(-3\right)$ .

a)

-14/55

b)

14/55

c)

2

d)

-2

Functions

Total questions: 40

Worksheet time: 25mins

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