77435
AssignmentMultiple Choice

Reflections of Exponential Functions

Question 77435 • CA-Algebra I A – 6002

The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-axis to produce function h(x). Which function represents h(x)?

Answer
A
h(x) = –0.11(3)x
B
h(x) = 0.11(3)–x
C
h(x) = 0.11(3)x
D
h(x) = –0.11(3)–x

Explanation

Reflecting a graph over the x-axis changes each output’s sign, so g(x) = −0.11(3)^x. Reflecting g over the y-axis replaces x with −x, giving h(x) = g(−x) = −0.11(3)^(−x). This matches choice D, h(x) = −0.11(3)^(−x).

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