Topics
6. Exponential & Logarithmic Functions
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United States of AmericaAZ
Algebra 2

6.02 Applications of exponential functions

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

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

Easy
3min

Due to favorable market conditions, a company's annual costs are expected to decrease by $5%$5% per year for the next few years. Their annual costs for the current financial year are $\$322000$$322000.

Easy
2min
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Outcomes

A2.F-IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Include problem-solving opportunities utilizing a real-world context. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Functions include linear, quadratic, exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root and piecewise-defined functions.

A2.F-IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. B. Use the properties of exponents to interpret expressions for exponential functions and classify those functions as exponential growth or decay.

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