Topics
3. Functions
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United States of AmericaUT
Math II

3.08 Review: 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

II.A.SSE.1

Interpret quadratic and exponential expressions that represent a quantity in terms of its context.

II.A.SSE.3.c

Use the properties of exponents to transform expressions for exponential functions.

II.A.CED.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

II.F.IF.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

II.F.IF.8.a

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

II.F.IF.8.b

Use the properties of exponents to interpret expressions for exponential functions.

II.F.BF.1

Write a quadratic or exponential function that describes a relationship between two quantities.

II.F.BF.1.a

Determine an explicit expression, a recursive process, or steps for calculation from a context.

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