91Ó°ÊÓ

Solve. $$x^{2}+2 x+1 \leq 0$$

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. $$f(x)=-\frac{6}{x}$$

Find the zeros of the polynomial function and state the multiplicity of each. $$f(x)=\left(x^{2}-5 x+6\right)^{2}$$

Using synthetic division, determine whether the numbers are zeros of the polynomial function. $$\frac{1}{3}, 2 ; h(x)=x^{3}-x^{2}-\frac{1}{9} x+\frac{1}{9}$$

Using synthetic division, determine whether the numbers are zeros of the polynomial function. $$-3, \frac{1}{2} ; f(x)=x^{3}-\frac{7}{2} x^{2}+x-\frac{3}{2}$$

Solve. $$x^{2}+12 < 4 x$$

Find the zeros of the polynomial function and state the multiplicity of each. $$f(x)=x^{4}-4 x^{2}+3$$

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. $$g(x)=\frac{x^{2}-4 x+3}{x+1}$$

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. $$h(x)=\frac{2 x^{2}-x-3}{x-1}$$

Graph the piecewise function. \(h(x)=\left\\{\begin{array}{ll}-x^{2}, & \text { for } x<-2 \\ x+1, & \text { for }-2 \leq x<0 \\ x^{3}-1, & \text { for } x \geq 0\end{array}\right.\)