Question

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)?

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

Answer 1

"The two functions have opposite output values of each other for any given input value."

Reason: reflecting across the x-axis sends (x, y) to (x, −y), so g(x) = −f(x).