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Question 1 • Math 3

Which graph represents an exponential growth function?

Answer

Image with description On a coordinate plane, the curve passes through (0 comma 1) and increase rapidly in the first quadrant as the value of x increases. It goes towards the x axis as x decrease in the second quadrant.

Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma 1), (4 comma 2),and (9 comma 3) in the first quadrant.

Image with description On a coordinate plane, the curve originate on y-axis and passes through (1 comma negative1), (4 comma negative 2),and (9 comma negative 3) in the fourth quadrant.

Image with description On a coordinate plane the graph decreases rapidly in the second quadrant and passes through (0 comma 1). It levels of on the x axis in the first quadrant.

Explanation

An exponential growth graph passes through (0, 1), rises as x increases, and approaches the x-axis as x decreases. Choice C has these features: it increases rapidly in the first quadrant and approaches the x-axis to the left. Choice A instead decreases as x increases, so it represents exponential decay.

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