9
QuizMultiple Choice

Unit Test — Unit test

Question 9 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26

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

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

Explanation

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

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