Exponential and Logarithmic Functions — Test

Question 21 • Algebra 2 with Probability

Which graph represents an exponential function?

Answer

Image with description On a coordinate plane, the curve passes through (negative 2 comma 8), (negative 1 comma 1), the origin, (1 comma negative 1), and (2 comma negative 8). The curve decreases rapidly in the second and the fourth quadrant and changes direction at the origin.

Image with description A coordinate plane with x- and y-axes shows a two-part curve separated by the y-axis. The left curve approaches the x-axis from above as it extends to the left and rises sharply upward near the y-axis, while the right curve drops sharply downward near the y-axis and approaches the x-axis from above as it extends to the right. Arrowheads indicate the curves continue indefinitely.

Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma 1), (4 comma 2),and (8 comma 3) in the first quadrant.

Image with description A coordinate plane with x- and y-axes shows a single continuous curve. The curve starts high on the left, slopes downward through the point (0 comma 1), then bends sharply to the right and gradually levels off above the x-axis as it extends to the right. Arrowheads indicate the curve continues indefinitely in both directions.

Explanation

An exponential function can decrease while approaching a horizontal asymptote, often the x-axis, without reaching it. In choice C, the curve passes through (0, 1), rises as it extends left, and approaches the x-axis as it extends right—behavior consistent with exponential decay. Choice D instead has the shape of a logarithmic function.

AI-written and checked against the verified answer.

More from this Course

Test

Test

Test