Question

Is f left parenthesis x right parenthesis equals StartFraction 1 Over x squared EndFraction
an even or an odd​ function? What symmetry does its graph​ exhibit?
Question content area bottom
Part 1
Is f left parenthesis x right parenthesis equals StartFraction 1 Over x squared EndFraction
an even or an odd​ function?
even
odd
Part 2
What symmetry does its graph​ exhibit? Select all that apply.
The graph of a function is symmetric with respect to the​ x-axis.
The graph of a function is symmetric with respect to the​ y-axis.
The graph of a function is symmetric with respect to the origin.

Answer 1

Part 1: even — because f(-x) = 1/(-x)^2 = 1/x^2 = f(x).

Part 2: The graph is symmetric with respect to the y-axis only. (Not symmetric about the x-axis or the origin.)