77436
AssignmentMultiple Choice

Reflections of Exponential Functions

Question 77436 • CA-Algebra I A – 6002

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

Answer
A
The two functions have no points in common.
B
The two functions have the same initial value.
C
The two function have opposite output values of each other for any given input value.
D
The graph of the two functions would look exactly the same.

Explanation

Reflecting a graph across the y-axis changes each input x to −x, so g(x) = f(−x). At x = 0, both functions have the same output because f(−0) = f(0); therefore, they share the same initial value (y-intercept).

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