Vertical Stretches and Shrinks of Exponential Functions
Question 13 • CA-Mathematics I
A stretch by a factor of Eleven-thirds [image 1] for the exponential decay function f(x)= a (three-fifths) Superscript x [image 2] occurs when a =[___].
Answer
A
1/3
B
3/5
C
1
D
11/3
Explanation
In f(x) = a(3/5)^x, the coefficient a scales the function vertically. A stretch by a factor of 11/3 means the coefficient is 11/3, so the correct choice is 11/3.
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