True or false: The sum of an even and odd function is neither even nor odd function.

Is $f(x)=x^5$ even or odd function?

These are functions symmetric on the origin.

Is the sentence true or false?

The sum of two even functions is even function.

Is the sentence true or false?

Cubic functions are odd functions.

Is $f(x)=3\sin x$ even or odd function?

Complete:

_____________ functions symmetric to the y-axis.

Complete:

_____________ functions symmetric on the origin.

Is the sentence true or false?

Absolute value functions in the form $f(x)=a|x|+c$  is an odd function.

Is $f(x)=x$ even or odd function?