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QuizMultiple Choice

Exponential Growth Functions

Question 1 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Which best describes the graph of the function f(x) = 4(1.5)x?

Answer
A
The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by 1.5.
B
The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C
The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D
The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.

Explanation

At x = 0, f(0) = 4(1.5)^0 = 4, so the graph passes through (0, 4). Each time x increases by 1, the exponent increases by 1, which multiplies the function value by 1.5. Therefore, the graph passes through (0, 4) and increases by a factor of 1.5 for each unit increase in x.

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