7
QuizMultiple Choice

Reflections of Exponential Functions — Quiz

Question 7 • Algebra: Concepts and Connections

The function f of x is equal to 1 sixth times 2 fifths to the x th power is reflected across the y -axis to create the function g of x Which ordered pair is on g of x ?

Answer
A
negative 3 comma 4 three-hundred and seventy-fifths
B
3 comma negative 125 forty-eighths
C
2 comma 2 seventy-fifths
D
negative 2 comma 25 twenty-fourths

Explanation

Reflecting a graph across the y-axis replaces x with −x, so g(x) = f(−x) = (1/6)(2/5)^(−x). At x = −3, this gives g(−3) = (1/6)(2/5)^3 = (1/6)(8/125) = 4/375. Therefore, the ordered pair (−3, 4/375), choice D, is on g.

AI-written and checked against the verified answer.

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