91Ó°ÊÓ

(a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. $$ G(x)=\frac{2}{(x+2)^{2}} $$

Solve each inequality algebraically. $$\frac{(x-3)(x+2)}{x-1} \leq 0$$

Solve each inequality algebraically. $$\frac{(x-3)^{2}}{x^{2}-4} \geq 0$$

Find the complex zeros of each polynomial function. Write fin factored form. $$ f(x)=x^{4}+2 x^{3}+22 x^{2}+50 x-75 $$

(a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. $$ R(x)=\frac{-1}{x^{2}+4 x+4} $$

List the potential rational zeros of each polynomial function. Do not attempt to find the zeros. $$ f(x)=6 x^{4}-x^{2}+9 $$

Use transformations of the graph of \(y=x^{4}\) or \(y=x^{5}\) to graph each function. $$ f(x)=4-(x-2)^{5} $$

(a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. $$ R(x)=\frac{1}{x-1}+1 $$

Use transformations of the graph of \(y=x^{4}\) or \(y=x^{5}\) to graph each function. $$ f(x)=3-(x+2)^{4} $$

Find the complex zeros of each polynomial function. Write fin factored form. $$ f(x)=x^{4}+3 x^{3}-19 x^{2}+27 x-252 $$