8
QuizMultiple Choice

Vertical Stretches and Shrinks of Exponential Functions — Quiz

Question 8 • Algebra: Concepts and Connections

Which is a shrink of an exponential growth function?

Answer
A
f of x is equal to 3 times 3 to the x th power
B
f of x is equal to 1 third times 3 to the x th power
C
f of x is equal to 1 third times 1 third to the x th power
D
f of x is equal to 3 times 1 third to the x th power

Explanation

An exponential growth function has a base greater than 1, such as 3^x. Multiplying it by a number between 0 and 1 makes a vertical shrink, so (1/3)·3^x is a shrink of an exponential growth function. Choice A has a base of 1/3, so it represents exponential decay instead.

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