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Which graph represents an exponential function?
On a coordinate plane, a parabola is shown.
On a coordinate plane, 2 curves mirror each other.
On a coordinate plane, a line curves upwards gradually.
On a coordinate plane, a line increases rapidly and then levels off.
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"On a coordinate plane, a line increases rapidly and then levels off."
Reason: exponential functions (or shifted exponentials like 1 − e^{−x}) show rapid change and approach a horizontal asymptote. The parabola is quadratic, the two mirrored curves are a hyperbola/reciprocal-type graph, and a gently curving upward line does not show the rapid-onset growth and asymptote characteristic of exponentials.
Reason: exponential functions (or shifted exponentials like 1 − e^{−x}) show rapid change and approach a horizontal asymptote. The parabola is quadratic, the two mirrored curves are a hyperbola/reciprocal-type graph, and a gently curving upward line does not show the rapid-onset growth and asymptote characteristic of exponentials.
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