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.
Neither
Before we begin, let's recall two important definitions.
h(x) | h(-x) | -h(x) |
---|---|---|
x5+3x4 | -x5+3x4 | -x5−3x4 |
Since h(x)=h(-x) and h(-x)=-h(x), the function h is neither an even nor an odd function.