10
QuizMultiple Choice

Exponential Decay Functions — Quiz

Question 10 • Algebra: Concepts and Connections

Chelsea is graphing the function f of x is equal to 20 times 1 fourth to the x th power She begins by plotting the initial value. Which graph represents her first step?

Answer
A
Image with description On a coordinate plane, the point (0, 20) is graphed.
B
Image with description On a coordinate plane, the point (0, 0.25) is graphed.
C
Image with description On a coordinate plane, the point (20, 0) is graphed.
D
Image with description On a coordinate plane, the point (0.25, 0) is graphed.

Explanation

The initial value is the function value when x = 0. For f(x) = 20(1/4)^x, f(0) = 20(1/4)^0 = 20 × 1 = 20. So Chelsea’s first point is (0, 20), which is the graph in choice C.

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