Graphical Reasoning Graph each of the functions with a graphing utility. Determine whether the function is even, odd, or neither.
f(x) = x2 − x4 | g(x) = 2x3 + 1 |
h(x) = x5 − 2x3 + x | j(x) = 2− x6 − x8 |
k(x) = x5− 2x4 + x − 2 | p(x) = x9 + 3x5− x3 + x |
What do you notice about the equations of functions that are odd? What do you notice about the equations of functions that are even? Can you describe a way to identify a function as odd or even by inspecting the equation? Can you describe a way to identify a function as neither odd nor even by inspecting the equation?
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