Question

Use the graph of the exponential growth function

f(x) = a(2x) to determine which statement is true.

f(0) = 2 when a = One-half.

f(0) = 3 when a = 3.

f(1) = 9 when a = 9.

Answers

  1. By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition “f(0) = 3 when a = 3” is the only true. (Correct choice: B)

    How to analyze an exponential function

    Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:
    x = 0
    2 = a · 2⁰
    a = 2
    x = 0
    3 = a · 2⁰
    a = 3
    x = 1
    9 = a · 2
    a = 9/2
    By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition “f(0) = 3 when a = 3” is the only true. (Correct choice: B)
    To learn more on exponential functions: https://brainly.com/question/11487261
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