wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Function - An introduction

Total questions: 35

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
Does this mapping diagram represent a function?
a)
No, because an input value goes to multiple output values
b)
Yes, because each input goes to one and only one output
2.

What is the definition of a function?

a)

Has inputs and outputs

b)

Inputs have different outputs every time

c)

x-values and

y-values

d)

Every input has only one output

3.
Is this a function or not a function?
a)
Function
b)
Not a Function
4.

Which set of ordered pairs 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)}

5.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
6.
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.
7.

Which of these sets is not a function?

a)

{ (2,3) , (3,5) , (4,9) }

b)

{ (2,3) , (2,5) , (4, 9) }

c)

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

8.
Is this is a function or not a function?
a)
Function
b)
Not a Function
9.

What is the name of this function?

a)

Quadratic Function

b)

Square Root Function

c)

Exponential Function

d)

Absolute Value Function

10.

What is the name of this function?

a)

Quadratic Function

b)

Square Root Function

c)

Linear Function

d)

Exponential Function

11.

What is the name of this function?

a)

"U" Function

b)

Absolute Value Function

c)

Quadratic Function

d)

Linear Function

12.

What is the name of this function?

a)

Radical Function

b)

Exponential Function

c)

Logarithmic Function

d)

Piecewise

13.

Which graph is a piecewise function? CHOOSE ALL THAT APPLY.

a)
b)
c)
d)
14.

Function or not a function

(a)  

15.

Function or not a function

(a)  

16.

Function or not a function?

a)

Function

b)

Not a Function

17.

Function or not a function?

a)

Function

b)

Not a Function

18.

Function or not a function?

a)

Function

b)

Not a Function

19.

Which of the following equations represents a function?

a)

b)

c)

d)

20.

What is the domain?

a)

x ≥ 0

b)

y ≥ 0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

21.

What is the range?

a)

x ≥ 0

b)

y ≥ 0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

22.
What is the range of this function?
a)

y ≥ 0

b)

-1 ≤ x ≤ 3

c)

All Real Numbers

d)

y ≥ -4

23.

What is the Range?

a)

y ≥ 6

b)

y6y\le6  

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

24.

What is the domain for this graph? (input values)

a)

[2, \infty )

b)

( \infty , 2]

c)

[-2, 2]

d)

( -\infty , \infty )

25.
Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 
a)
Domain: (-∞, ∞)  Range: [-∞, 4]
b)
Domain: [1, ∞)  Range: (-∞, 4]
c)
Domain: [-1. ∞) Range: [4, ∞) 
d)
Domain: [4, ∞) Range: [-1,∞) 
26.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
27.

State the domain:

a)

(-oo, 7) U (7, oo)

b)

(-oo, -7) U (7, oo)

c)

(7, oo)

d)

[7, oo)

28.
What is the RANGE?
a)
{-3, 3]
b)
all real numbers
c)
[-4, 5]
d)
[-4, ∞)
29.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

30.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

31.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

32.

What is the domain?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

(,)\left(-\infty,\infty\right)

e)

None of the answer choices

33.

What is the domain?

a)

(,2]\left(\infty,-2\right]

b)

[2, )\left[-2,\ \infty\right)


c)

[-2,3]

d)

(, 2]\left(-\infty,\ -2\right]

e)

None of the answer choices

34.
What is the range of the graph?
a)
(-∞,∞)
b)
[-1,0]
c)
[-1,3]
d)
[3,∞)
35.
What is the domain?
a)
(-3 , 3)
b)
[-4, 5]
c)
(-4, 5)
d)
(-3, 3]