Exponential Functions — Test

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

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, the x axis ranges from negative 5 to 5 with an increment of 1 and y axis is ranges from negative 6 to 6 with increment of 1. An exponential function approaches y equal to 0 in quadrant II and passes through points 1 comma 1 and 2 comma 4. The arrow is present on both ends of curve.

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 with an increment of 1 and y axis is ranges from negative 6 to 6 with increment of 1. An exponential function approaches y equal to 0 in quadrant I. The curves up to the left and passes through points 0 comma 4 and 1 comma 1. The arrow is present on both ends of curve.

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 with an increment of 1 and y axis is ranges from negative 6 to 6 with increment of 1. An exponential function approaches y equal to 0 in quadrant II and passes through points 3 comma 2 and 4 comma 4. The arrow is present on both ends of curve.

Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 with an increment of 1 and y axis is ranges from negative 6 to 6 with increment of 1. An exponential function approaches y equal to 0 in quadrant I. The curves up to the left and passes through points 2 comma 1 and 0 comma 4. The arrow is present on both ends of curve.

Explanation

Rewrite the function as f(x) = 4^x ÷ 4. Then f(1) = 1 and f(2) = 4, so its graph passes through (1, 1) and (2, 4). Because the base 4 is greater than 1, the function increases to the right and approaches y = 0 as x moves left. Choice D matches these points and behavior.

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