Topics
5. Exponential Functions
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United States of AmericaNC
Math 1

5.02 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

NC.M1.A-CED.2

Create and graph equations in two variables to represent linear, exponential, and quadratic relationships between quantities.

NC.M1.F-IF.8

Use equivalent expressions to reveal and explain different properties of a function.

NC.M1.F-IF.8b

Interpret and explain growth and decay rates for an exponential function.

NC.M1.F.BF.1

Write a function that describes a relationship between two quantities.

NC.M1.F.BF.1a

Build linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two ordered pairs (include reading these from a table).

NC.M1.F-LE.5

Interpret the parameters a and b in a linear function f(x) = ax + b or an exponential function g(x) = ab^x. In terms of a context.

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