5.) Classify the following functions as growth or decay: а.) у %3D 2* b.) y = 2-* -x с.) у 3 d.) y

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5.) Classify the following functions as growth or decay:

a.) \( y = 2^x \)

b.) \( y = 2^{-x} \)

c.) \( y = \left(\frac{1}{2}\right)^x \)

d.) \( y = \left(\frac{1}{2}\right)^{-x} \)
Transcribed Image Text:5.) Classify the following functions as growth or decay: a.) \( y = 2^x \) b.) \( y = 2^{-x} \) c.) \( y = \left(\frac{1}{2}\right)^x \) d.) \( y = \left(\frac{1}{2}\right)^{-x} \)
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Step 1

To classify function as growth or decay.(a)   y=2x    since exponent power is positive so it is growth function(b)  y=2-x     since power is in negative it represent decay

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