Exponential Functions — Test

Question 13 • Mathematics I

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

Answer

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points 3 comma 2 and 4 comma 4.

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points 1 comma 1 and 2 comma 4.

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points 2 comma 1 and 0 comma 4.

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points 1 comma 1 and 0 comma 4.

Explanation

Rewrite the function as f(x) = 4^(x − 1). Then f(1) = 1 and f(2) = 4, so its graph passes through (1, 1) and (2, 4). As x decreases, the function values approach 0 while remaining positive, matching choice B.

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