Graphing Exponential Functions — Quiz

Question 10 • Algebra 2 with Probability

Which graph represents an exponential function?

Answer

Image with description On a coordinate plane, the curve originate from the origin and passes through the points (1 comma 3), (4 comma 6), and (9 comma 9) in the first quadrant.

Image with description On a coordinate plane, the curve passes through (negative 2 comma negative 4), the origin, and (2 comma 4). The curve decreases rapidly in the first and the third quadrant and changes direction at the origin.

Image with description On a coordinate plane, the graph is made up of two different curves that do not meet. One of the curve decreases rapidly in the second quadrant and passes through (0 comma 1). In the first quadrant it goes towards the x axis. The other curve cuts the x axis at (negative 4 comma 0) and then goes rapidly towards the negative side of the y axis in the third quadrant

Image with description On a coordinate plane, the curve passes through (0 comma 1), (1 comma 3) and (2 comma 9).It increases rapidly in the first quadrant as x increase and goes towards the y axis as x decreases in the second quadrant.

Explanation

An exponential function has a constant multiplier for equal increases in x. In choice D, the y-values go from 1 to 3 to 9 as x increases by 1, multiplying by 3 each time, so the graph represents an exponential function. Choice B instead changes direction at the origin, which is characteristic of a cubic graph.

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