2
ALMultiple Choice

Exponential and Logistic Functions

Question 2 • EA Pre-Calculus Credit Recovery

Which of the following functions decreases, going downwards from left to right?

Answer
A
y = 2 • 3x
B
y = 2 • 0.3x
C
y = −2 • 0.3x
D
y = 0.2 • 3x

Explanation

For an exponential function of the form y = a·b^x, the function decreases when a is positive and the base b is between 0 and 1. Choice B has a positive coefficient, 2, and base 0.3, so its values decrease as x increases. Choice C has a negative coefficient, which reverses that behavior and makes the function increase.

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