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Question 8 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which is the graph of f of x is equal to 0 point 5 times 4 to the x th power ?

Answer

Image with description A coordinate plane with an exponential curve. The horizontal axis is labeled from negative 4 to 6 in increments of 1 and the vertical axis is labeled from 0 to 80 in increments of 16. The curve passes through the labeled points 3 comma 8, 4 comma 16, and rises steeply into the first quadrant, and extends toward the left approaching the horizontal axis without touching it.

Image with description A coordinate plane with an exponential curve. The horizontal axis is labeled from negative 4 to 6 in increments of 1 and the vertical axis is labeled from 0 to 80 in increments of 16. The curve passes through the labeled points 1 comma 8, 3 comma 32, and rises steeply into the first quadrant, extending toward the left approaching the horizontal axis without touching it.

Image with description A coordinate plane with an exponential curve. The horizontal axis is labeled from negative 4 to 6 in increments of 1 and the vertical axis is labeled from 0 to 80 in increments of 16. The curve passes through the labeled points 1 comma 8, 2 comma 16, and 2 comma 64, rises steeply into the first quadrant, and extends toward the left approaching the horizontal axis without touching it.

Image with description A coordinate plane with an exponential curve. The horizontal axis is labeled from negative 4 to 6 in increments of 1 and the vertical axis is labeled from 0 to 80 in increments of 16. The curve passes through the labeled points 2 comma 8, 3 comma 32, rises steeply into the first quadrant, and extends toward the left approaching the horizontal axis without touching it.

Explanation

Substitute x = 2 and x = 3 into f(x) = 0.5 × 4ˣ: f(2) = 0.5 × 16 = 8, and f(3) = 0.5 × 64 = 32. Choice D shows the graph passing through (2, 8) and (3, 32), so it matches the function.

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