91Ó°ÊÓ

What does Descartes' rule of signs tell you about the number of positive real zeros and the number of negative real zeros of the function? $$f(x)=x^{5}-2 x^{3}-8 x$$

Write a polynomial inequality for which the solution set is \([-4,3] \cup[7, \infty)\)

Fill in the blank with the correct term. Some of the given choices will not be used. Others will be used more than once. $$\begin{array}{ll}x \text { -intercept } & \text { midpoint formula } \\ y \text { -intercept } & \text { horizontal lines } \\ \text { odd function } & \text { vertical lines } \\ \text { even function } & \text { point-slope equation } \\ \text { domain } & \text { slope-intercept equation } \\ \text { range } & \text { difference quotient } \\ \text { slope } & f(x)=f(-x) \\\ \text { distance formula } & f(-x)=-f(x)\end{array}$$ The _______ is \(\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)\).

Fill in the blank with the correct term. Some of the given choices will not be used. Others will be used more than once. $$\begin{array}{ll}x \text { -intercept } & \text { midpoint formula } \\ y \text { -intercept } & \text { horizontal lines } \\ \text { odd function } & \text { vertical lines } \\ \text { even function } & \text { point-slope equation } \\ \text { domain } & \text { slope-intercept equation } \\ \text { range } & \text { difference quotient } \\ \text { slope } & f(x)=f(-x) \\\ \text { distance formula } & f(-x)=-f(x)\end{array}$$ A(n) ________ is a point \((0, b)\)

Find the domain of the function. $$f(x)=\sqrt{\frac{72}{x^{2}-4 x-21}}$$

What does Descartes' rule of signs tell you about the number of positive real zeros and the number of negative real zeros of the function? $$R(x)=3 x^{5}-5 x^{3}-4 x$$

What does Descartes' rule of signs tell you about the number of positive real zeros and the number of negative real zeros of the function? $$f(x)=x^{4}-9 x^{2}-6 x+4$$

Find the nonlinear asymptote of the function. $$f(x)=\frac{x^{5}+2 x^{3}+4 x^{2}}{x^{2}+2}$$

Find the nonlinear asymptote of the function. $$f(x)=\frac{x^{4}+3 x^{2}}{x^{2}+1}$$

Graph the function. $$f(x)=\frac{2 x^{3}+x^{2}-8 x-4}{x^{3}+x^{2}-9 x-9}$$