Vertical Stretches and Shrinks of Exponential Functions — Quiz

Question 5 • Algebra: Concepts and Connections

Which graph represents a function with a growth factor of 5?

Answer

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.5), (1, 2).

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.04), (0, 0.2), (1, 1).

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.125), (0, 0.25), (1, 0.5).

Image with description On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.06), (0, 0.6), (1, 6).

Explanation

For an exponential function, the growth factor is the amount the output is multiplied by when x increases by 1. In choice B, the y-values go from 0.04 to 0.2 to 1, multiplying by 5 each time. So choice B represents a function with a growth factor of 5.

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