Graphing Exponential Functions — Quiz

Question 2 • Algebra 2 with Probability

Which graph represents an exponential function?

Answer

Image with description On a coordinate plane, the graph is made up of two different curves that do not meet. One of the curve lies in the second quadrant and passes through (negative 3 comma 3). It increase rapidly for values of x between negative 3 and 0. The other curve increases rapidly in the third quadrant and passes through (negative 2 comma negative 2). It passes through the first quadrant as x increase.

Image with description On a coordinate plane the curve passes through (negative 1 comma 0) and (0 comma 1). It increase rapidly in the third quadrant and goes towards the line y equals 2 in the first quadrant.

Image with description On a coordinate plane, the graph originate at (negative 2 comma 0) and passes through (negative 1 comma 1) and (1 comma 2). It increases as x increases in the first quadrant.

Image with description On a coordinate plane, the curve is symmetric about y axis in the third and the fourth quadrant. It has maxima at the origin and passes through (negative 2 comma negative 4) and (2 comma negative 4).

Explanation

An exponential graph can have a horizontal asymptote and change rapidly as x changes. Choice C passes through (−1, 0) and (0, 1), rises from the third quadrant, and approaches the horizontal line y = 2, matching a shifted exponential curve. Choice D is a parabola, while B has the shape of a square-root graph.

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