7
AssignmentMultiple Choice

Exponential Growth Functions

Question 7 • CA-Mathematics I

Which is an exponential decay function?

Answer
A
f(x) = 0.2 x
B
f(x) = –3.1x
C
f(x) = 10x
D
f(x) = −2(0.7)x

Explanation

An exponential function has the variable in the exponent, and it represents decay when its positive base is between 0 and 1. In choice D, the variable is the exponent on 0.7, and 0 < 0.7 < 1, so the function decays as x increases. The factor −2 changes the outputs’ sign but not the exponential decay factor.

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