4
ALMultiple Choice

Exponential and Logistic Functions

Question 4 • EA Pre-Calculus Credit Recovery

Which of the following is true about the function y = 3 • 2x?

Answer
A
the function decreases
B
the function has a y-intercept of (0,2)
C
if the value of x increases by 1, the value of y will double.
D
the function contains the point (2, 4)

Explanation

For y = 3 · 2^x, increasing x by 1 gives y = 3 · 2^(x+1) = 2(3 · 2^x), so the value of y doubles. The function’s y-intercept is (0, 3), and at x = 2 it equals 12, so the other statements are false.

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