Question

Which function is symmetric with respect to the origin?

A.) y=-x^4
B.) y=x^9
C.) y=-2x^8
D.) y=3x^14

Answer 1

B.) y=x^9

as x is raised to an odd power.

Answer 2

(B)

Explanation:

In order to show that the function is symmetric with respect to the origin, then the function must lie in (1st and 3rd quadrant) or (2nd and 4th quadrant) and should be a monomial and possesses odd degree.

Since, from all other options,
`y=x^9` is a monomial and possesses odd degree, and also lie in 1st and 3rd quadrant, thus
`y=x^9` is symmetric with respect to the origin.

Hence, option B is correct.