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QuizMultiple Choice

Monomial Functions — Quiz

Question 2 • Algebra 2 with Probability

Which function is symmetric with respect to the y -axis?

Answer
A
y is equal to 2 x to the 7th power
B
y is equal to negative 2 x cubed
C
y is equal to negative x to the 5th power
D
y is equal to 3 x to the 6th power

Explanation

A function is symmetric with respect to the y-axis when replacing x with −x leaves its output unchanged: f(−x) = f(x). For y = 3x⁶, replacing x by −x gives 3(−x)⁶ = 3x⁶, so the function is unchanged. The other choices have odd powers of x and change sign, so the correct choice is D, y = 3x⁶.

AI-written and checked against the verified answer.

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