8. Analyzing Graphs of Polynomial Functions
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A function f is an even function when f(- x)=f(x) for all x in its domain. A function f is an odd function when f(- x)=- f(x) for all x in its domain.
Even
Before we begin, let's recall two important definitions.
f(x) | f(- x) | - f(x) |
---|---|---|
x^4+3x^2-2 | x^4+3x^2-2 | - x^4-3x^2+2 |
We can see above that f(x)=f(- x). Therefore, f is an even function.