3
practice examMultiple Choice

Practice Exam

Question 3 • Mathematics I

An exponential function f of x is reflected across the x -axis to create the function g of x Which is a true statement regarding f of x and g of x ?

Answer
A
The two functions will cross each other on the axis.
B
The two functions have opposite output values of each other for any given input value.
C
The two functions have reciprocal output values of each other for any given input value.
D
The two functions have the same initial value.

Explanation

Reflecting a graph across the x-axis changes each output y to its opposite, −y, while leaving the input x unchanged. Therefore, for every input, g(x) = −f(x), so the functions have opposite output values. The correct statement is that the two functions have opposite output values for any given input.

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