Chapter 11.4, Problem 9E

(A)

To determine

To find: The intervals on which $f^{\prime }\left(x\right)<0$.

(B)

To determine

To find: The intervals on which $f^{\prime }\left(x\right)>0$.

(C)

To determine

To find: The intervals on which $f\left(x\right)$ is increasing.

(D)

To determine

To find: The intervals on which $f\left(x\right)$ is decreasing.

(E)

To determine

To find: The x coordinates of the point where $f\left(x\right)$ has a local maximum.

(F)

To determine

To find: The x coordinates of the points where $f\left(x\right)$ has a local minimum.

(G)

To determine

To find: The intervals on the graph where ${f^{\prime }}^{\prime }\left(x\right)<0$.

(H)

To determine

To find: The intervals on the graph where $f^{″}\left(x\right)>0$.

(I)

To determine

To find: The intervals on which graph of f is concave upward.

(J)

To determine

To find: The intervals on which the graph of the function f is concave downward.

(K)

To determine

To find: The x-coordinates of the inflection points from the given graph.

(L)

To determine

To find: The horizontal asymptotes from the given graph.

(M)

To determine

To find: The vertical asymptotes from the given graph.