Chapter 5.3, Problem 62E

To determine

(a)

To graph:

Thegiven functions on the window $\left[-2,2\right]$ by $\left[-2,2\right]$.

To determine

(b)

To prove:

The given functions has inflection point at $\left(0,0\right)$.

To determine

(c)

To explain:

The value of $f^{″}\left(0\right)$ different from $g^{″}\left(0\right)$.

To determine

(d)

To explain:

It always possible to tell the difference between a point where the second derivative is zero or undefined based on the graph.