91Ó°ÊÓ

Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the \(x\) -intercepts and the \(y\) -intercepts. Check your work using \(a\) graphing calculator. $$f(x)=\frac{x^{2}+2 x-3}{x^{2}+4 x+3}$$

Using a graphing calculator, find the real zeros of the function. Approximate the zeros to three decimal places. $$\begin{aligned} f(x)=& x^{8}+8 x^{7}-28 x^{6}-56 x^{5}+70 x^{4} \\ &+56 x^{3}-28 x^{2}-8 x+1 \end{aligned}$$

Using a graphing calculator, find the real zeros of the function. Approximate the zeros to three decimal places. $$f(x)=x^{6}-10 x^{5}+13 x^{3}-4 x^{2}-5$$

Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the \(x\) -intercepts and the \(y\) -intercepts. Check your work using \(a\) graphing calculator. $$f(x)=\frac{x^{2}-x-2}{x^{2}-5 x-6}$$

Solve. $$x^{2}-2 x-2=8 x$$

List all possible rational zeros of the function. $$f(x)=x^{7}+37 x^{5}-6 x^{2}+12$$

List all possible rational zeros of the function. $$f(x)=x^{7}+37 x^{5}-6 x^{2}+12$$

Make a hand-drawn graph. Be sure to label all the asymptotes. List the domain and the \(x\) -intercepts and the \(y\) -intercepts. Check your work using \(a\) graphing calculator. $$f(x)=\frac{1}{x^{2}+3}$$

Using a graphing calculator, estimate the real zeros, the relative maxima and minima, and the range of the polynomial function. $$g(x)=x^{3}-1.2 x+1$$

List all possible rational zeros of the function. $$f(x)=3 x^{3}-x^{2}+6 x-9$$