22
practice examMultiple Choice

Practice Exam

Question 22 • Mathematics I

The function f of x is equal to 5 times 1 fifth to the x th power is reflected over the y -axis. Which equations represent the reflected function? Choose two correct answers.

Answer
A
f of x is equal to 1 fifth 1 fifth 1 fifth to the x th power
B
f of x is equal to 1 fifth times 5 raised to the negative x power
C
f of x is equal to 5 times 1 fifth raised to the negative x power
D
f of x is equal to 5 times 5 raised to the negative x power
E
f of x is equal to 5 times 5 to the x th power

Explanation

Reflecting a graph across the y-axis means replacing x with −x. This gives f(−x) = 5(1/5)^(−x), which is choice C; since (1/5)^(−x) = 5^x, the same function is also 5·5^x, choice E.

AI-written and checked against the verified answer.

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