13
QuizMultiple Choice

Introduction to Statistics — Cumulative exam

Question 13 • PBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023

Which best describes the range of the function f(x) = 2(3)x?

Answer
A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2

Explanation

Interpreting the function as f(x) = 2·3^x, note that 3^x is positive for every real x. Multiplying by 2 keeps the output positive, so the range is y > 0. The function can get arbitrarily close to 0 but never equals 0, so y ≥ 0 is not correct.

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