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Graphing Exponential Functions - Printable Mathematics Worksheets - Wayground

Graphing Exponential Functions

18 questions

8th - 8th Grade

Mathematics

Graphing Exponential Functions is a free printable Grade 8 mathematics worksheet with 18 questions: 13 multiple-choice items and 5 multiple-select items. Students interpret exponential graphs and equations by identifying exponential functions, distinguishing growth from decay, determining domain and range, locating y-intercepts, and completing a value table from a given function. Visual graph analysis and equation-based questions require students to connect an exponential function’s representation to its key features. This worksheet works for guided practice, independent review, or a quick formative assessment after introducing exponential functions. Students must select one or all correct answers depending on the item, giving teachers evidence of both conceptual understanding and careful reading. A complete answer key is included to support efficient checking, feedback, and reteaching.

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Worksheets

Graphing Exponential Functions

Total questions: 18

Name
Class
Date
1.
What is the domain and range of the function y=2x ?
Use the graph to help!
a)

 Domain: −∞<x<∞ Range: y>0

b)

Domain: −∞<x<∞ Range: y>1

c)

Domain: −2<x<∞ Range: y>0

d)

Domain: −∞<x<∞ Range: y<0

2.

Is the pictured graph exponential growth, exponential decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

3.
Given y=3x determine the y-intercept 
a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
4.

Which graph is an exponential function?

a)

red

b)

blue

c)

green

d)

none

5.

Which graph corresponds to the exponential function y=4xy=4^x  ?

a)
b)
c)
d)
6.

Given the function y=3(2)xy=3\left(2\right)^x  , fill in the blank in the table  when  x=5x=5  .

a)

96

b)

7776

c)

30

d)

−30-30  

7.

This is an example of....

a)

an increasing exponential function

b)

a decreasing exponential function

c)

an increasing linear function

d)

none of the above

8.

This is an example of.....

a)

exponential decay

b)

exponential growth

c)

constant change

d)

a linear function

9.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
10.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
11.

Does the function represent exponential growth or decay?

y=18(5)xy=\frac{1}{8}\left(5\right)^x  

a)

Decay

b)

Growth

12.

Identify the y-intercept of the graph of the exponential function:

y=3(12)xy=3\left(\frac{1}{2}\right)^x  

a)

(3,0)

b)

(1/2, 0)

c)

(0,0)

d)

(0,3)

13.

Exponential Growth or Decay?

y=8(14)xy=8\left(\frac{1}{4}\right)^x  

a)

Decay

b)

Growth

14.

Exponential Growth or Decay?

y=13(5)xy=\frac{1}{3}\left(5\right)^x  

a)

Decay

b)

Growth

15.

Which functions are exponential? Select all that apply.

a)

y=25x−3y=\frac{2}{5}x-3  

b)

y=(25)x−3y=\left(\frac{2}{5}\right)^x-3  

c)

d)

e)

16.

Which functions are exponential? Select all that apply.

a)

3x+2y=123x+2y=12  

b)

y=52x+1y=\frac{5}{2}x+1  

c)

y=(52)x+1y=\left(\frac{5}{2}\right)^x+1  

d)

x=10x=10  

e)

y=(47)x−2y=\left(\frac{4}{7}\right)^x-2  

17.

Which are exponential functions? Select all that apply.

a)

b)

c)

d)

e)

18.

Which functions are exponential? Select all that apply.

a)

y=25x−3y=\frac{2}{5}x-3  

b)

y=(25)x−3y=\left(\frac{2}{5}\right)^x-3  

c)

d)

e)

Answer Key

Graphing Exponential Functions

Total questions: 18

1.
a)

 Domain: −∞<x<∞ Range: y>0

2.
a)

Exponential Growth

3.
a) (0,1)
4.
a)

red

5.
a)
6.
a)

96

7.
a)

an increasing exponential function

8.
a)

exponential decay

9.
b) 3
10.
c) 13
11.
b)

Growth

12.
d)

(0,3)

13.
a)

Decay

14.
b)

Growth

15.
b)

y=(25)x−3y=\left(\frac{2}{5}\right)^x-3  

, c) , d)
16.
c)

y=(52)x+1y=\left(\frac{5}{2}\right)^x+1  

, e)

y=(47)x−2y=\left(\frac{4}{7}\right)^x-2  

17.
c) , d)
18.
b)

y=(25)x−3y=\left(\frac{2}{5}\right)^x-3  

, c) , d)

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FAQs

What does the Graphing Exponential Functions worksheet cover?

This Grade 8 mathematics worksheet uses 18 multiple-choice and multiple-select questions to assess how students interpret exponential functions from graphs, equations, and tables. Students identify exponential graphs, classify growth and decay, determine domain and range, locate y-intercepts or initial values, and calculate a missing table value.

How can I use this worksheet to teach exponential functions?

Introduce the worksheet by reviewing how the base indicates growth or decay and how the coefficient identifies the y-intercept when x = 0. Then have students explain their choices for the graph-identification, growth-or-decay, domain-and-range, and table-value items, using the equation or visible graph feature that supports each answer. Use the multiple-select questions to prompt students to compare several representations rather than relying on one visual clue.

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

Students may confuse the base with the y-intercept, especially in forms such as f(x)=13(.27)^x, where the initial value is 13. They may also reverse growth and decay, choose a restricted domain instead of all real numbers, or report a graph’s x-intercept when the question asks for its y-intercept. On multiple-select items, check that students identify every exponential graph or function that applies rather than selecting only one option.

How do I assign and grade this Graphing Exponential Functions worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 18 questions. For printable submissions, scan student work with the Wayground for Teachers app to support grading and review.

How can I differentiate this exponential functions worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the graph, equation, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the graph-identification and growth-or-decay items.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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