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AssignmentMultiple Choice

Vertical Stretches and Shrinks of Exponential Functions

Question 1 • GA-Algebra: Concepts and Connections CR

Use the graph of the exponential growth functionf(x) = a(2x) to determine which statement is true.

Answer
A
f(0) = 2 when a = .
B
f(0) = 3 when a = 3.
C
f(1) = 9 when a = 9.

Explanation

For f(x) = a(2^x), set x = 0: f(0) = a · 2^0 = a. Therefore, when a = 3, f(0) = 3, so “f(0) = 3 when a = 3” is true. For comparison, when a = 9, f(1) = 9 · 2 = 18, not 9.

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