9
QuizMultiple Choice

Reflections of Exponential Functions — Quiz

Question 9 • Algebra: Concepts and Connections

How are the two functions f of x is equal to 0 point 7 times 6 to the x th power and g of x is equal to 0 point 7 times 6 raised to the negative x power related to each other?

Answer
A
g of x and f of x will appear to be the same function.
B
g of x is the reflection of f of x over both axes.
C
g of x is the reflection of f of x over the x -axis.
D
g of x is the reflection of f of x over the y -axis.

Explanation

Since f(x) = 0.7 × 6^x, replacing x with −x gives f(−x) = 0.7 × 6^(−x), which is exactly g(x). Replacing x by −x reflects a function’s graph across the y-axis, so g is the reflection of f over the y-axis.

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