22
QuizMultiple Choice

Exponential Functions — Test

Question 22 • Mathematics I

Which is a stretch of an exponential decay function?

Answer
A
f of x is equal to 4 fifths times 4 fifths to the x th power
B
f of x is equal to 4 fifths times 5 fourths to the x th power
C
f of x is equal to 5 fourths times 4 fifths to the x th power
D
f of x is equal to 5 fourths times 5 fourths to the x th power

Explanation

An exponential decay function has a base between 0 and 1, so its base must be 4/5 rather than 5/4. A vertical stretch occurs when the coefficient is greater than 1; in choice C, that coefficient is 5/4. Thus, choice C is a stretch of an exponential decay function.

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