Chapter 4.3, Problem 86E

(i)

(a)

To determine

The critical numbers of the function $f$ given the graph of $f\text{'}$

(b)

To determine

The interval on which the provided function $f$ is increasing or decreasing.

(c)

To determine

The nature of the relative extrema at each critical point.

(ii)

(a)

To determine

The critical numbers of the function $f$ given the graph of $f\text{'}$

(b)

To determine

The interval on which the provided function is increasing or decreasing.

(c)

To determine

The nature of the relative extrema at each critical point.

(iii)

(a)

To determine

The critical numbers of the function $f$ given the graph of $f\text{'}$

(b)

To determine

The interval on which the provided function is increasing or decreasing.

(c)

To determine

The nature of the relative extrema at each critical point.

(iv)

(a)

To determine

The critical numbers of the function $f$ given the graph of $f\text{'}$

(b)

To determine

The interval on which the provided function is increasing or decreasing

(c)

To determine

The nature of the relative extrema at each critical point