### Home > CALC > Chapter 4 > Lesson 4.1.1 > Problem 4-7

4-7.

Examine*f*(*x*) graphed at right. Homework Help ✎Is

*f*(*x*) even, odd, or neither?If

, what is ? Explain. If

and find . Explain. If you know that

and , how can you find ? Justify your process with a diagram, if necessary.

Even functions have reflective symmetry across the y-axis. Odd functions have rotational symmetry about the origin.

Refer to the steps in part (c) for more guidance.