Graphing Exponential Functions — Quiz

Question 12 • Algebraic Reasoning

Which graph represents an exponential function?

Answer

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

Image with description On a coordinate plane, the graph is made up of two different curves that do not meet. The curve in the first quadrant passes through (1 comma 1), do not intercept the y axis and decrease sharply between for values of x less than 1. The curve goes towards the x axis for x greater than 1. The other part of the curve is the mirror image across the y axis of the curve in the first quadrant.

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 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.

Explanation

An exponential decay graph can pass through (0, 1), decrease as x increases, and approach the x-axis without touching it. That matches choice C. Choice D has the pattern of a logarithmic graph, while choice A changes direction at the origin.

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