91Ó°ÊÓ

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm working with a fourth-degree polynomial function with integer coefficients and zeros at 1 and \(3+\sqrt{5} .\) I'm certain that \(3+\sqrt{2}\) cannot also be a zero of this function.

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

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

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

Solve each inequality using a graphing utility. $$ x^{2}+3 x-10>0 $$

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

Solve each inequality using a graphing utility. $$ 2 x^{2}+5 x-3 \leq 0 $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I must have made an error when graphing this parabola because its axis of symmetry is the \(y\) -axis.

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

Can the graph of a polynomial function have no \(y\) -intercept? Explain.