91Ó°ÊÓ

In Exercises \(9-22,\) graph the quadratic function, which is given in standard form. $$f(x)=-(x-5)^{2}-4$$

Divide the polynomials using long division. Use exact values and express the answer in the form \(Q(x)=?, r(x)=?\). $$\left(4 x^{3}-12 x^{2}-x+3\right) \div\left(x-\frac{1}{2}\right)$$

In Exercises \(9-22,\) graph the quadratic function, which is given in standard form. $$f(x)=-(x+1)^{2}-3$$

Find all vertical asymptotes and horizontal asymptotes (if there are any). $$f(x)=\frac{\frac{1}{3} x^{2}+\frac{1}{3} x-\frac{1}{4}}{x^{2}+\frac{1}{9}}$$

Divide the polynomials using long division. Use exact values and express the answer in the form \(Q(x)=?, r(x)=?\). $$\left(12 x^{3}+1+7 x+16 x^{2}\right) \div\left(x+\frac{1}{3}\right)$$

Divide the polynomials using long division. Use exact values and express the answer in the form \(Q(x)=?, r(x)=?\). $$\left(-2 x^{5}+3 x^{4}-2 x^{2}\right) \div\left(x^{3}-3 x^{2}+1\right)$$

In Exercises \(9-22,\) graph the quadratic function, which is given in standard form. $$f(x)=\left(x-\frac{1}{3}\right)^{2}+\frac{1}{9}$$

Find the slant asymptote corresponding to the graph of each rational function. $$f(x)=\frac{3 x^{3}+4 x^{2}-6 x+1}{x^{2}-x-30}$$

Graph function by transforming a power function \(y=x^{n}.\) $$f(x)=3-(x+1)^{4}$$

Find all the real zeros (and state their multiplicities) of each polynomial function. $$f(x)=-3(x+2)^{3}(x-1)^{2}$$