4
AssignmentMultiple Choice

Exponential Growth Functions

Question 4 • 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 in the exponent and the base is 0.7, so the function decreases exponentially; the factor −2 only reflects the outputs across the x-axis. The other choices have x as a factor rather than an exponent.

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