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Magazine Problem 43
Find all asymptotes, \(x\) -intercepts, and \(y\) -intercepts for the graph of each rational function and sketch the graph of the function. $$f(x)=\frac{x+1}{x^{2}}$$
Problem 43
Discuss the possibilities for the roots to each equation. Do not solve the equation. $$x^{3}+x-1=0$$
Problem 44
Discuss the possibilities for the roots to each equation. Do not solve the equation. $$-x^{4}+3 x^{3}+5 x+5=0$$
Problem 44
Find all asymptotes, \(x\) -intercepts, and \(y\) -intercepts for the graph of each rational function and sketch the graph of the function. $$f(x)=\frac{x-1}{x^{2}}$$
Problem 45
Find all asymptotes, \(x\) -intercepts, and \(y\) -intercepts for the graph of each rational function and sketch the graph of the function. $$f(x)=\frac{2 x-1}{x^{3}-9 x}$$
Problem 45
Discuss the possibilities for the roots to each equation. Do not solve the equation. $$x^{5}+x^{3}+3 x=0$$
Problem 46
Find all asymptotes, \(x\) -intercepts, and \(y\) -intercepts for the graph of each rational function and sketch the graph of the function. $$f(x)=\frac{2 x^{2}+1}{x^{3}-x}$$
Problem 46
Discuss the possibilities for the roots to each equation. Do not solve the equation. $$x^{3}-5 x^{2}+6 x=0$$
Problem 47
Establish the best integral bounds for the roots of each equation according to the theorem on bounds. $$x^{4}-5 x^{2}+7=0$$
Problem 47
Find all asymptotes, \(x\) -intercepts, and \(y\) -intercepts for the graph of each rational function and sketch the graph of the function. $$f(x)=\frac{x}{x^{2}-1}$$
