3
ALMultiple Choice

Families of Graphs

Question 3 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

In which of the following functions is f(−x) = f(x)?

Answer
A
y = sin(x)
B
y = x
C
y = x2
D
y = x1/3

Explanation

A function satisfies f(−x) = f(x) when replacing x with −x leaves its value unchanged. For y = x², f(−x) = (−x)² = x² = f(x), so the correct choice is C, y = x². The other listed functions change sign when x is replaced by −x.

AI-written and checked against the verified answer.

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