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.
(- a)^2 = a^2
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g(x) | g(- x) | - g(x) |
---|---|---|
x^2+5x+1 | x^2 -5x +1 | - x^2-5x-1 |
Since g(x)≠g(- x) and g(- x)≠- g(x), the function g is neither an even nor an odd function.