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Increasing and Decreasing Functions - Printable Math Worksheets 8th Grade - Wayground

Increasing and Decreasing Functions

Reed Carbone

Created by Reed Carbone

13 questions

8th Grade

Math

Updated Sep 2026

Increasing and Decreasing Functions is a Grade 8 mathematics worksheet with 13 multiple-choice questions focused on interpreting how functions behave. Students classify graphs and tables as linear or nonlinear, identify increasing, decreasing, and constant intervals, and determine whether a function is always or partly increasing or decreasing. Several items require students to read interval notation from graphs and compare the behavior of two functions. The worksheet also connects function behavior to linear-function features: students identify a positive slope as the rate of change and b as the initial value in a linear expression. These questions give students practice linking visual representations, tables, slope, and function notation while checking whether a function changes consistently across its domain. This free printable worksheet includes a complete answer key and is designed for Grade 8 math practice, review, or formative assessment.

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Increasing and Decreasing Functions

Total questions: 13

Name
Class
Date
1.
Which graph is linear?
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
2.
Is function represented by the table linear or nonlinear?
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
3.
List the types of intervals that the graph demonstrates in order.
List the types of intervals that the graph demonstrates in order.
a)
decreasing, constant, increasing, constant
b)
increasing, decreasing, constant
c)
increasing, constant, increasing, constant
d)
increasing, constant, decreasing, constant
4.
Which statement is true about this function?

Which statement is true about this function?

a)

The function is never constant

b)

The function is always increasing

c)

The function is never decreasing

5.
Is the following an increasing or decreasing function?

Is the following an increasing or decreasing function?

a)

increasing

b)

decreasing

6.

What do we know about the slope for increasing functions?

a)

The slope is positive

b)

The slope is negative

c)

There is zero slope

7.
Which statement is true about this graph?
Which statement is true about this graph?
a)
This function is always constant
b)
This function is always increasing
c)
This function is never increasing
d)
This function is both increasing and decreasing
8.
Determine if the graph is linear or nonlinear. Increasing,decreasing, both or neither?
Determine if the graph is linear or nonlinear. Increasing,decreasing, both or neither? 
a)
Linear; increasing 
b)
Nonlinear; increasing 
c)
Linear; both increasing and decreasing 
d)
Nonlinear; both increasing and decreasing
9.

Linear functions can be written in the form:

y=mx+by=mx+b  
What is the rate of change?

a)

y

b)

m

c)

x

d)

b

10.

Linear functions can be written in the form:

y=mx+by=mx+b  
What is the initial value?

a)

y

b)

m

c)

x

d)

b

11.
Determine if the following functions are increasing or decreasing.

Determine if the following functions are increasing or decreasing.

a)

Both functions are decreasing.

b)

The function in item I is increasing, and the function in item II is decreasing.

c)

The function in item I is decreasing, and the function in item II is increasing.

d)

Both functions are increasing.

12.
Identify where the function is decreasing.

Identify where the function is decreasing.

a)

x < -4 , x > 1

b)

-4 < x < 1

c)

-6 < x < 7.5

d)

All Real Numbers

13.
Identify where the function is decreasing.

Identify where the function is decreasing.

a)

x < 0

b)

x > 0

c)

x < -3 , x > 3

d)

-3 < x < 3

WaygroundAnswer Key

Increasing and Decreasing Functions

Total questions: 13

1.
d) Graph D
2.
b) nonlinear
3.
d) increasing, constant, decreasing, constant
4.
c)

The function is never decreasing

5.
b)

decreasing

6.
a)

The slope is positive

7.
b) This function is always increasing
8.
b) Nonlinear; increasing 
9.
b)

m

10.
d)

b

11.
b)

The function in item I is increasing, and the function in item II is decreasing.

12.
a)

x < -4 , x > 1

13.
a)

x < 0

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FAQs

What does the Increasing and Decreasing Functions worksheet cover?

This Grade 8 worksheet uses 13 multiple-choice questions to have students classify graphs and tables as linear or nonlinear and identify increasing, decreasing, and constant behavior. It also asks students to read interval notation, compare two functions, and connect an increasing function to a positive slope and the linear-form values m and b.

How can I use this worksheet to teach increasing and decreasing functions?

First model how to trace a graph from left to right and describe each interval as increasing, decreasing, or constant. Then have students apply that process to the worksheet's graph and interval-notation questions, followed by a discussion of why an increasing linear function has a positive slope and how m represents rate of change while b represents initial value.

What mistakes should I watch for when students complete this worksheet?

Students may read a graph from right to left, reverse increasing and decreasing, or overlook a constant section when listing intervals in order. They may also confuse linear with increasing, even though the worksheet includes nonlinear functions that increase, and may select x or y instead of m for rate of change or b for initial value.

How do I assign and grade this worksheet?

You can assign Increasing and Decreasing Functions as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for checking the 13 multiple-choice responses, and printable student work can be graded by scanning it with the Wayground for Teachers app. The printable format also supports classrooms that are reducing screen time.

How can I differentiate this increasing and decreasing functions worksheet for my students?

Use the worksheet's Advanced Settings to adjust font spacing or choose a larger font size so graph-classification choices and interval notation are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when that better supports students working through the multiple-choice graph and function questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects. Teachers can browse downloadable PDFs with answer keys at https://wayground.com/en-us/worksheets to find additional resources for essential skills and concepts.

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