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QuizMultiple Choice

Exponential Growth Functions — Quiz

Question 1 • Mathematics I

Which graph shows exponential growth?

Answer
A
Image with description On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
B
Image with description On a coordinate plane, a parabola opens up with vertex at 0 comma 0.
C
Image with description On a coordinate plane, a straight line with positive slope crosses the y-axis at negative 1 comma 0 and crosses the y-axis at 2 comma 0.
D
Image with description On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at 1 comma 0.

Explanation

Exponential growth has a curve that stays close to the horizontal asymptote y = 0 on the left, then rises increasingly quickly as x increases. Choice B shows this pattern, approaching y = 0 in quadrant II and curving upward in quadrant I. The straight line in A and the parabola in D are not exponential graphs.

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