Question

How to show a function is increasing for all values of x?

Answer 1

Step-by-step explanation:

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Answer...

If f′(x) > 0, then f is increasing on the interval, and if f′(x) < 0, then f is decreasing on the interval.

This and other information may be used to show a reasonably accurate sketch of the graph of the function.

Example 1: For f(x) = x 4 − 8 x 2 determine all intervals where f is increasing or decreasing.

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