Chapter 3.6, Problem 95E

To determine

(a)

To graph:

The rational function $r\left(x\right)=\frac{1}{{\left(x-2\right)}^2}$.

To determine

(b)

To show:

That the function $s\left(x\right)=\frac{2x^2+14x+5}{x^2+2x+1}$ can be written as $s\left(x\right)=2+\frac{3}{{\left(x+1\right)}^2}$ and graph the function $s\left(x\right)=2+\frac{3}{{\left(x+1\right)}^2}$.

To determine

(c)

To check:

Whether the graph of the function $p\left(x\right)=\frac{2-3x^2}{x^2-4x+4}$ and $q\left(x\right)=\frac{12x-3x^2}{x^2-4x+4}$ can be obtained by the use of graph $y=\frac{1}{x^2}$.