Suppose that the graph below is the graph of f \'(x). the derivative of a functi

Question

Suppose that the graph below is the graph of f '(x). the derivative of a function f(x) Find the open intervals where f(x) is a) increasing, or b) decreasing List any interval(s) on which the function is increasing (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if the function is never increasing.) List any interval(s) on which the function is decreasing (Type your answer in interval notation. Use a comma to separate answers as needed. Type N if the function is never decreasing.)

Explanation / Answer

The one thing you need to know here is that when the derivative is positive, the original function is increasing and when the derivative is negative, the original function is decreasing. So looking at the graph you can see the derivative is positive (above the x-axis) from (0,2) and it is negative(under the x-axis) from (-,0) U (2,) I hope this helped, please let me know if you have any more questions.

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