Topics
6. Radicals and exponents
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Algebra 1

6.12 Exponential growth and decay

Lesson
Practice

Interactive practice questions

Consider the function $y=0.68\left(1.6\right)^x$y=0.68(1.6)x.

a

Identify what type of function this is:

Exponential growth

A

Exponential decay

B
b

What is the rate of growth?

Easy
1min

Consider the function $y=0.98\left(0.2\right)^x$y=0.98(0.2)x.

Easy
< 1min

The local rat population numbers approximately $750$750 and is increasing at a rate of $3%$3% per year.

Easy
1min

Luigi purchased a sculpture for $\$2900$$2900, and it is expected to increase in value by $9%$9% per year.

Easy
3min
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Outcomes

A1.9.A

Determine the domain and range of exponential functions of the form f(x) = ab^x and represent the domain and range using inequalities

A1.9.B

Interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems

A1.9.D

Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

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