MATH 1P97 Midterm: Midterm 2

I attached a picture with the graph of the derivative

a) On what Intervals is f increasing or decreasing ? Explain

b) For what values of x does f have a local maximum or minimum ? Explain

c) On what interval is f concave upward or concave downward? Explain

d) what are the x- coordinates of the inflection points of f ? Why ?

The graph of the derivative f' of a continous function f is shown.

(a) On what intervals is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate (s) the point (s) of inflection.

(e) Assuming that sketch a graph of f.

The graph of the derivative f' of a continuous function is shown.

(a) On what interval is f increasing? Decreasing?

(b) At what values of x does f have a local maximum? Local minimum?

(c) On what intervals is f concave upward? Concave downward?

(d) State the x-coordinate(s) of the point(s) of inflection.

(e) Assuming that f(0)=0, sketch a graph of f.