# Finite Math Examples

Determine if Odd, Even, or Neither
Step 1
Find .
Step 1.1
Find by substituting for all occurrence of in .
Step 1.2
Simplify each term.
Step 1.2.1
Apply the product rule to .
Step 1.2.2
Raise to the power of .
Step 1.2.3
Multiply by .
Step 1.2.4
Apply the product rule to .
Step 1.2.5
Multiply by by adding the exponents.
Step 1.2.5.1
Move .
Step 1.2.5.2
Multiply by .
Step 1.2.5.2.1
Raise to the power of .
Step 1.2.5.2.2
Use the power rule to combine exponents.
Step 1.2.5.3
Step 1.2.6
Raise to the power of .
Step 1.2.7
Multiply by .
Step 1.2.8
Multiply by .
Step 2
A function is even if .
Step 2.1
Check if .
Step 2.2
Since , the function is not even.
The function is not even
The function is not even
Step 3
A function is odd if .
Step 3.1
Find .
Step 3.1.1
Multiply by .
Step 3.1.2
Apply the distributive property.
Step 3.1.3
Multiply by .
Step 3.2
Since , the function is not odd.
The function is not odd
The function is not odd
Step 4
The function is neither odd nor even
Step 5