5
AssignmentMultiple Choice

Exponential Decay Functions

Question 5 • 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 decay function has the form a·b^x, where the base b is between 0 and 1. In choice D, the variable is in the exponent and the base is 0.7, so the function decays as x increases. The negative coefficient −2 reflects the graph but does not change the decay factor.

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