Answer
See solution
Work Step by Step
a. Graph $y=x^{2}$, $y=x^{3}$, $y=x^{4}$, $y=x^{5}$ for $-1\leq x\leq 1$
b. The graph of $y=x^{100}$ will be similar to the graph of other function of the type $f(x)=x^{n}$ where $n$ is even but it will have a steep increase near the origin and will approach $0$ quickly away from the origin.
On the other hand $y=x^{101}$ will be will be similar to the graph of other function of the type $f(x)=x^{n}$ where $n$ is odd but it will have a steep increase near the origin and will approach $0$ quickly away from the origin.
From the two tables of values we can confirm that the behavior is indeed as described above in b.
