Answers Algebra Concepts and Connections Exponential Decay Functions — QuizQuestion 7

7

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Exponential Decay Functions — Quiz

Question 7 • Algebra: Concepts and Connections

Which is an exponential decay function?

Answer

A

f of x is equal to 1 third times negative 9 halves to the x th power

B

f of x is equal to 3 fourths times 7 fourths to the x th power

C

f of x is equal to 3 halves times 8 sevenths raised to the negative x power

D

f of x is equal to 2 thirds times 4 fifths raised to the negative x power

Explanation

An exponential function represents decay when its effective base is between 0 and 1. In choice C, (8/7) raised to the power −x is equivalent to (7/8)^x, and 7/8 is between 0 and 1. Therefore, choice C, f(x) = (3/2)(8/7)^(−x), is an exponential decay function.

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