# Algebra Examples

Step 1

Determine if the function is odd, even, or neither in order to find the symmetry.

1. If odd, the function is symmetric about the origin.

2. If even, the function is symmetric about the y-axis.

Step 2

Step 2.1

Find by substituting for all occurrence of in .

Step 2.2

Simplify each term.

Step 2.2.1

Apply the product rule to .

Step 2.2.2

Raise to the power of .

Step 2.2.3

Multiply by .

Step 3

Step 3.1

Check if .

Step 3.2

Since , the function is even.

The function is even

The function is even

Step 4

Since the function is not odd, it is not symmetric about the origin.

No origin symmetry

Step 5

Since the function is even, it is symmetric about the y-axis.

Y-axis symmetry

Step 6