9
lesson pretestMultiple Choice

Pretest

Question 9 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which best describes the graph of the function f of x is equal to 4 times 1 point 5 to the x th power ?

Answer
A
The graph passes through the point 0 comma 1 point 5 , and for each increase of 1 in the x -values, the y -values increase by a factor of 4 .
B
The graph passes through the point 0 comma 4 , and for each increase of 1 in the x -values, the y -values increase by 1 point 5 .
C
The graph passes through the point 0 comma 4 , and for each increase of 1 in the x -values, the y -values increase by a factor of 1 point 5 .
D
The graph passes through the point 0 comma 1 point 5 , and for each increase of 1 in the x -values, the y -values increase by 4 .

Explanation

For f(x) = 4(1.5)^x, substituting x = 0 gives f(0) = 4(1.5)^0 = 4, so the graph passes through (0, 4). Each time x increases by 1, the output is multiplied by the base 1.5. Therefore, the graph passes through (0, 4) and increases by a factor of 1.5, as choice C states.

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