Which function is symmetric with respect to the y axis?

a. y=-x^5

b. y=3x^6

c. y=2x^7

d. y=-2x^3

This is a test of even or odd function

if it is even it is symmetric with respect to y axis

means if we replace x with - x, we should get the same thing

in an even function, f (x) = f (-x)

so

a. if we replace x with - x we get y=x^5, not the same function

b. if we replace x with - x, we get 3x^6, same thing

c. replace to get - 2x^7

d. replace and get 2x^3

B is answer

notice that the even powers canclel out the positive so normally even functions have even degrees

B is answer