Question: Some functions can be described as even or odd. An even function has the y-axis as a line of symmetry. If the function f is
An even function has the y-axis as a line of symmetry.
If the function f is an even function, then f (- x) = f (x) for all values of x in the domain. Which parent functions that you've seen are even functions? Now graph y = x3, y = 1 / x, and y = 3√x, all of which are odd function.
Describe the symmetry displayed by these odd functions. How would you define an odd function in terms of f (x)? Can you give an example of a function that is neither even nor odd?
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