Precalculus Examples

Determine if Odd, Even, or Neither f(x)=1/3x^2
Step 1
Combine and .
Step 2
Find .
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Step 2.1
Find by substituting for all occurrence of in .
Step 2.2
Simplify the numerator.
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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
A function is even if .
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Step 3.1
Check if .
Step 3.2
Since , the function is even.
The function is even
The function is even
Step 4