Question

Help!!! I have no idea where to begin.
1) Give all intervals where f (x) < 0 and all intervals where f(x) > 0.

2) Give all intervals where f ' (x) < 0 and all intervals where f ' (x) > 0.

3) Give all intervals where f '' (x) < 0 and all intervals where f '' (x) > 0.

4) Give the location of all points of discontinuity.

5) Give the location of all points of non-differentiability.

Answer 1

Is 1 a problem?
Remember how f'(x) relates to the slope of the curve and how f''(x) relates to the concavity.
A function is discontinuous at a point if the at that point left handed limit does not equal the right handed limit. Similarly for non-differentiability the left handed derivative and right handed derivative are now equal.

Answer 2

yes each number 1-5 is a question

Answer 3

ok so then th 1. interval question would he answer be something like 0,1 and 0,-5

Answer 4

and 0,1 and 0,3