Pretest

Question 4 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which is the graph of f of x is equal to 5 times 2 to the x th power ?

Answer

Image with description A coordinate plane with a curve with a positive and increasing slope. The x-axis is labeled from negative 4 to 6 in increments of 1 and the y-axis is labeled from 0 to above 40 in increments of 20. The curve begins near the lower left of the plane, passes through the marked and labeled point 0 comma 2, rises with an increasing slope, passes through the marked and labeled point 2 comma 10, and continues steeply toward the upper right of the plane.

Image with description A coordinate plane with a curve with a positive and increasing slope. The x-axis is labeled from negative 4 to 6 in increments of 1 and the y-axis is labeled from 0 to above 40 in increments of 20. The curve begins at the left side of the plane near negative 4 comma 0, rises gradually, passes through the marked and labeled point 0 comma 5, then continues upward with an increasing slope, passing through the marked and labeled point 2 comma 10, and continues toward the upper right of the plane.

Image with description A coordinate plane with a curve with a positive and increasing slope. The x-axis is labeled from negative 4 to 6 in increments of 1 and the y-axis is labeled from 0 to above 40 in increments of 20. The curve begins near the lower portion of the plane, passes through the marked and labeled point 0 comma 2, then rises very steeply, passing through the marked and labeled point 2 comma 50, and continues toward the upper portion of the plane.

Image with description A coordinate plane with a curve with a positive and increasing slope. The x-axis is labeled from negative 4 to 6 in increments of 1 and the y-axis is labeled from negative 20 to above 40 in increments of 20. The curve begins at the lower left near negative 4 comma 0, rises gradually, passes through the marked and labeled point 0 comma 5, then continues upward more steeply, passing through the marked and labeled point 2 comma 20, and continues toward the upper right of the plane.

Explanation

For f(x) = 5 · 2^x, the y-value at x = 0 is 5 · 1 = 5, and at x = 2 it is 5 · 4 = 20. The function also increases as x increases and approaches 0 as x moves far to the left. Choice D shows the curve passing through (0, 5) and (2, 20), so it matches.

AI-written and checked against the verified answer.

More from this Course

Pretest

Pretest

Pretest