wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Function and continuity

Total questions: 34

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
2.

What is the domain of the graph?

a)

[-3, 3]

b)

(3, -3]

c)

(-3, 3)

d)

(2, 10]

3.
What is the domain of the function?
a)
{x| x = all real numbers}
b)
{x| -2 < x < 4}
c)
{x| -2 ≤ x ≤ 4}
d)
{x| -6 ≤ x ≤ 3}
4.
What is the range of this functions?
a)
{y| -6 ≤ y ≤ 3}
b)
{y| -6 < y < 3}
c)
{y|y = all real numbers}
d)
{y| -2 ≤ y ≤ 4}
5.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
6.

Scarlett needs to find the set of all input values​ (a)   for her math project.

Choose from the below words

Domain

Range

Mode

7.

The set of all output values of a relation.

​ (a)  

Choose from the below words
Range
Domain
Codomain
Function
8.

A relation in which each input has exactly one output. ​ (a)  

Choose from the below words
Function
Set
List
Graph
9.

Which type of relation must pass both the vertical line test and the horizontal line test?

a)

One-to-one function

b)

Function

c)

Relation

10.

What is the best way to describe this relation?

a)

One-to-One

b)

Function

c)

Relation

11.

For a function to be a one-to-one function, For every x there must be one y and for every y there must be one x

a)

True

b)

False

12.
a)

One-to-One Function

b)

Not One-to-One Function

13.
a)

One-to-One Function

b)

Not One-to-One Function

14.

To determine if a function is a one-to-one function by looking at it's graph,

it must passed the vertical and horizontal line test

a)

False

b)

True

15.

Determine which function is one-to-one?

a)
b)
c)
16.

The relation in the graph is..

a)

a function but not a one-to-one function.

b)

a one-to-one function.

c)

not a function

17.

What is the Domain of the function below?

(-1,2) (5,7) (6,2) (-3,9) (4, 7) (8, -2)

a)

D= {-1, -3, 4, 5, 6, 8}

b)

D= {2, 5, 7, 9, 7, -2}

c)

D= {2, 7, 9, 7, -2}

d)

D= {-1, 5, 6, -3, 4, 8, 2, 7, 9, -2}

18.

If the graph of the function is said to be one-to-one then, the horizontal line test intersects the graph of the function_____?

a)

thrice

b)

twice

c)

once

d)

no point of intersection

19.

Is this a function?

a)

Yes

b)

No

c)

I'm Confused

d)

May I phone a friend?

20.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
21.

Which word means unconnected?

a)

discreet

b)

discrete

22.

what type of graph is this?

a)

Large graph

b)

Happy graph

c)

Continuous graph

d)

Discrete graph

23.

What type of graph is this?

a)

Discrete

b)

Continuous

24.
When graphing a continuous function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph continuous functions
d)
There is no such thing as a continuous function
25.
When graphing a discrete function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph discrete functions
d)
There is no such thing as a discrete function
26.
In discrete functions, the x-values...
a)
Can be all numbers
b)
Can only be whole numbers
c)
Can only be decimals
27.

Discrete or continuous data?

a)

Discrete

b)

Continuous

28.

When writing a solution in interval notation, what brackets do i use for:

> or <

a)

[ ]

b)

( )

29.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

a)

[ ]

b)

( )

30.

Match the following.

a)

Positive Interval

1.

Graph is above the x-axis

b)

Negative Interval

2.

Graph is below the x-axis

c)

Increasing Interval

3.

Graph is going "uphill"

d)

Decreasing Interval

4.

Graph is going "downhill"

e)

Constant Interval

5.

Graph is a flat, horizontal line

31.
Express the following interval in Set notation:
[3, 5]
a)
{ x  | 3 ≤ x ≤ 5 }
b)
{ x  | 3 < x < 5 }
c)
{ x  | 3 ≤ x ≥ 5 }
d)
{ x | 3 < x > 5 }
32.
Express the following in Interval Notation
{ x  | -8 ≤ x < 8 }
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
33.
Write the set of numbers inset-builder notation.
(22, 98]
a)
{x ∣ 22 < x ≤ 98 }
b)
{x ∣ 22 ≤ x ≤ 98 }
c)
{x ∣ 22 ≤ x < 98 }
d)
{x ∣ 22 < x < 98 }
34.
Write the set of numbers inset-builder notation.
(−∞, 5] or [14, ∞)
a)
{x∣x ≤ 5 or x > 14}
b)
{x∣x ≤ 5 or x ≥ 14}
c)
{x∣x < 5 or x > 14}
d)
{x∣x ≤ 5 or x > 14}