Which is the graph of f of x is equal to 4 times 1 half to the x th power ?

Answer

A

Image with description A coordinate plane displays the x-axis labeled from negative 3 to 7 in increments of 1 and the y-axis labeled from negative 3 to 7 in increments of 1. A decreasing curve passes through approximately the points 0 comma 4, 1 comma 2, 2 comma 1, and 3 comma 0.5.

B

Image with description A coordinate plane displays the x-axis labeled from negative 3 to 7 in increments of 1 and the y-axis labeled from negative 3 to 7 in increments of 1. A decreasing curve passes through approximately the points 0 comma 4, 1 comma 2, 2 comma 1, and 4 comma 0.25.

C

Image with description A coordinate plane displays the x-axis labeled from negative 3 to 7 in increments of 1 and the y-axis labeled from negative 3 to 7 in increments of 1. A decreasing curve passes through approximately the points 0 comma 2, 1 comma 0.7, 2 comma 0.25, and 4 comma 0.05.

D

Image with description A coordinate plane displays the x-axis labeled from negative 3 to 7 in increments of 1 and the y-axis labeled from negative 3 to 7 in increments of 1. A decreasing curve passes through approximately the points 0 comma 2, 1 comma 1.3, 2 comma 1, and 6 comma 0.3.

Explanation

For f(x) = 4(1/2)^x, substitute a few x-values: f(0) = 4, f(1) = 2, f(2) = 1, and f(4) = 0.25. The graph in choice B passes through those points and decreases as x increases, as expected for an exponential function with base 1/2.

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Exponential Functions — Test

Which is the graph of f of x is equal to 4 times 1 half to the x th power ?

Explanation

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