4
QuizMultiple Choice

Monomial Functions — Quiz

Question 4 • Algebra 2 with Probability

Which function is symmetric with respect to the origin?

Answer
A
y is equal to negative 2 x to the 8th power
B
y is equal to negative x to the 4th power
C
y is equal to 3 x to the 14th power
D
y is equal to x to the 9th power

Explanation

A function is symmetric with respect to the origin when it is odd, meaning f(-x) = -f(x). For y = x^9, replacing x with -x gives (-x)^9 = -x^9, so the function satisfies this rule; the other choices have even exponents and are symmetric about the y-axis instead.

AI-written and checked against the verified answer.

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