3
AssignmentMultiple Choice

Exponential Growth Functions

Question 3 • CA-Mathematics I

Which is an exponential growth function?

Answer
A
f(x) = 6(0.25)x
B
f(x) = 0.25(5.25)x
C
f(x) = –4.25x
D
f(x) = (–1.25)x

Explanation

An exponential function has the form a·b^x, and it shows growth when its base b is greater than 1. In choice B, the base is 5.25, so 0.25(5.25)^x increases as x increases. Choice A has a base of 0.25, which is between 0 and 1, so it represents decay.

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