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Exponential Function Review - Printable Mathematics Worksheets - Wayground

Exponential Function Review

20 questions

9th - 9th Grade

Mathematics

Exponential Function Review is a Grade 9 Algebra I worksheet that develops fluency with key features and representations of exponential functions. Across 20 multiple-choice questions, students identify growth and decay from the constant ratio, determine y-intercepts, rates of change, domain, range, and asymptotes, and find constant ratios from tables and graphs. They also select exponential equations that match tables, graphs, or given points. The worksheet applies these skills to exponential growth and decay situations, including house appreciation, percentage-based loss, and repeated doubling. It helps students connect symbolic, graphical, tabular, and real-world representations while checking whether a model represents growth or decay. This free printable worksheet includes a complete answer key and is designed for Grade 9 mathematics review, independent practice, homework, or an Algebra I formative assessment.

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Exponential Function Review

Total questions: 20

Name
Class
Date
1.

Does the equation represent growth or decay?

y=4(12)xy=4\left(\frac{1}{2}\right)^x  

a)

Growth since the y-int is greater than 1.

b)

Growth since the ratio is greater than 1.

c)

Decay since the y-int is less than 1.

d)

Decay since the ratio is less than 1.

2.

What is the y-intercept of 

y=34(4)xy=\frac{3}{4}\left(4\right)^x  ?

a)

44  

b)

00  

c)

34\frac{3}{4}  

d)

33  

3.

What is the constant ratio for 

y=32(45)xy=\frac{3}{2}\left(\frac{4}{5}\right)^x  ?

a)

32\frac{3}{2}  

b)

158\frac{15}{8}  

c)

1212  

d)

45\frac{4}{5}  

4.

What is the rate of decay for 

y=5(34)xy=5\left(\frac{3}{4}\right)^x  ?

a)

5%5\%  

b)

75%75\%  

c)

25%25\%  

d)

0.75%0.75\%  

5.

What is the constant ratio of the table?

a)

33

b)

13\frac{1}{3}

c)

66

d)

11

6.

What is the y-intercept of the graph?

a)

21,50021,500

b)

0.880.88

c)

10,00010,000

d)

66

7.

What is the domain of 

y=4(1.2)xy=4\left(1.2\right)^x  ?

a)

x>0x>0  

b)

All Real NumbersAll\ Real\ Numbers  

c)

x<4x<4  

d)

x>−4x>-4  

8.

What is the range of the function shown?

a)

All real numbers greater than 3

b)

All real numbers

c)

All real numbers greater than 0

d)

All real numbers greater than or equal to 0

9.

What is the asymptote of the function shown?

a)

y=0y=0

b)

y=1y=1

c)

x=0x=0

d)

x=1x=1

10.

You buy a house for $130,000 and it appreciates 6% per year. How much is it worth in 10 years?

a)

$14,300,000

b)

$232,810

c)

$267.13

d)

$219,632

11.

Tom is losing 20% of his hair each year. If he has 1546 hairs, how much will he have in 8 years?

a)

259259

b)

13151315

c)

66486648

d)

166166

12.

A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?

a)

2828

b)

175175

c)

54,67554,675

d)

3,2003,200

13.

What is the exponential equation for the table?

a)

y=6(12)xy=6\left(\frac{1}{2}\right)^x

b)

y=6(2)xy=6\left(2\right)^x

c)

y=12(6)xy=\frac{1}{2}\left(6\right)^x

d)

y=2(6)xy=2\left(6\right)^x

14.

What is the equation of the graph that goes through (2, -18) and (3, -54)?

a)

y=2(−3)xy=2\left(-3\right)^x

b)

y=−2(3)xy=-2\left(3\right)^x

c)

y=3(−2)xy=3\left(-2\right)^x

d)

y=−3(2)xy=-3\left(2\right)^x

15.

What is the exponential equation for the graph?

a)

y=40(32)xy=40\left(\frac{3}{2}\right)^x

b)

y=40(12)xy=40\left(\frac{1}{2}\right)^x

c)

y=40(23)xy=40\left(\frac{2}{3}\right)^x

d)

y=40(34)xy=40\left(\frac{3}{4}\right)^x

16.

What does the y-intercept represent in the word problem?

a)

The number of bounces the basketball takes

b)

The height of the basketball after the first bounce

c)

The original height of the basketball

d)

The rate at which the basketball bounces

17.

Given the table, what will be the population of mice after 8 months?

a)

192192

b)

3,0723,072

c)

256256

d)

1,5361,536

18.

Based on the graph, which statement does not appear to be true?

a)

The company opened 400 stores by the end of 1992

b)

Every year the number of stores opened increased by 25%

c)

The company opened 100 stores in 1 year

d)

Since 1992, the company has opened 250 stores each year

19.

Which value is closest to the amount of land the toads will occupy after 40 years?

a)

800,000 km2800,000\ km^2

b)

550,000\ km^2

c)

600,000 km2600,000\ km^2

d)

1,250,000 km21,250,000\ km^2

20.

Which best describes the graph given?

a)

Exponential Decay, asymptote at y = -1

b)

Exponential Growth, asymptote at y = 0

c)

Exponential Growth, asymptote at y = -1

d)

Exponential Decay, asymptote at y = 0

Answer Key

Exponential Function Review

Total questions: 20

1.
d)

Decay since the ratio is less than 1.

2.
c)

34\frac{3}{4}  

3.
d)

45\frac{4}{5}  

4.
c)

25%25\%  

5.
a)

33

6.
a)

21,50021,500

7.
b)

All Real NumbersAll\ Real\ Numbers  

8.
c)

All real numbers greater than 0

9.
a)

y=0y=0

10.
b)

$232,810

11.
a)

259259

12.
d)

3,2003,200

13.
a)

y=6(12)xy=6\left(\frac{1}{2}\right)^x

14.
b)

y=−2(3)xy=-2\left(3\right)^x

15.
a)

y=40(32)xy=40\left(\frac{3}{2}\right)^x

16.
c)

The original height of the basketball

17.
d)

1,5361,536

18.
d)

Since 1992, the company has opened 250 stores each year

19.
a)

800,000 km2800,000\ km^2

20.
c)

Exponential Growth, asymptote at y = -1

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FAQs

What does this exponential function worksheet cover?

This Grade 9 worksheet uses 20 multiple-choice questions to assess how students analyze exponential growth and decay. Students identify the constant ratio, y-intercept, rate of decay, domain, range, and asymptote, then match equations to tables, graphs, ordered pairs, and real-world situations.

How can I use this worksheet to teach exponential growth and decay?

Introduce the worksheet by reviewing the form y = a(b)^x and having students identify what a and b represent. As students work through the multiple-choice items, ask them to justify whether the ratio shows growth or decay, explain how a table or graph reveals the y-intercept and asymptote, and write the model before selecting an answer for the house appreciation, hair-loss, and doubling scenarios.

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

Students may confuse the y-intercept, which is tied to the initial value, with the constant ratio, which determines growth or decay. Watch for errors in converting percentages to multipliers, such as using 6 instead of 1.06 for appreciation or 0.20 instead of 0.80 for a 20% decrease, as well as confusing a graph’s range or asymptote with its domain.

How do I assign and grade this exponential function worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for checking the 20 multiple-choice responses. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading.

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

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equations, graph-based prompts, 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 support access to the exponential-function content.

Where can I find more worksheets like this on Wayground?

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

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