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.
Odd
Before we begin, let's recall two important definitions.
f(x) | f(-x) | -f(x) |
---|---|---|
2x5 | -2x5 | -2x5 |
We can see above that -f(x)=f(-x). Therefore, f is an odd function.