Even and Odd Function - Practice Questions & MCQ

Even function:

If for a function $f(x), f(-x)=f(x)$ then the function is known as even function. Even functions are symmetric about the $y$ axis.

            y = x²                                            y = |x|                                              y = cos(x)

Odd function:

If for a function $f(x), f(-x)=-f(x)$ then the function is known as odd function. Odd functions are symmetric about the origin.

                                y = sin(x)                                                           y = x³

NOTE: We can have functions that are neither even nor odd. Eg, $\mathrm{y}=\mathrm{x}+1$