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91Ó°ÊÓ

Problem 84

A. Find the slant asymplote of the graph of each rational function and B. Follow the seven-step strategy and use the slant asymptote to graph each rational function. $$ f(x)=\frac{x^{2}+4}{x} $$

Problem 84

Find the vertex for each parabola. Then determine a reasonable viewing rectangle on your graphing utility and use it to graph the quadratic function. $$ y=5 x^{2}+40 x+600 $$

Problem 85

A. Find the slant asymplote of the graph of each rational function and B. Follow the seven-step strategy and use the slant asymptote to graph each rational function. $$ f(x)=\frac{x^{2}+x-6}{x-3} $$

Problem 85

Explain the relationship between the degree of a polynomial function and the number of turning points on its graph.

Problem 85

Find the vertex for each parabola. Then determine a reasonable viewing rectangle on your graphing utility and use it to graph the quadratic function. $$ y=0.01 x^{2}+0.6 x+100 $$

Problem 86

A. Find the slant asymplote of the graph of each rational function and B. Follow the seven-step strategy and use the slant asymptote to graph each rational function. $$ f(x)=\frac{x^{2}-x+1}{x-1} $$

Problem 86

Solve each inequality in Exercises \(86-91\) using a graphing utility. $$ x^{2}+3 x-10>0 $$

Problem 86

Can the graph of a polynomial function have no x-intercepts? Explain.

Problem 87

A. Find the slant asymplote of the graph of each rational function and B. Follow the seven-step strategy and use the slant asymptote to graph each rational function. $$ f(x)=\frac{x^{3}+1}{x^{2}+2 x} $$

Problem 87

Solve each inequality in Exercises \(86-91\) using a graphing utility. $$ 2 x^{2}+5 x-3 \leq 0 $$

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