91Ó°ÊÓ

Determine the degree and the leading term of the polynomial function. $$f(x)=\left(10-3 x^{5}\right)^{2}\left(5-x^{4}\right)^{3}(x+4)$$

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? $$P(x)=x^{6}+2 x^{4}-9 x^{3}-4$$

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 _____ of the line with slope \(m\) passing through \(\left(x_{1}, y_{1}\right)\) is \(y-y_{1}=m\left(x-x_{1}\right)\).

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 \((a, 0)\)

Solve. $$\left|1+\frac{1}{x}\right| < 3$$

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? $$f(y)=y^{4}+13 y^{3}-y+5$$

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? $$Q(x)=x^{4}-2 x^{2}+12 x-8$$

Solve. $$\left|2-\frac{1}{x}\right| \leq 2+\left|\frac{1}{x}\right|$$

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

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? $$r(x)=x^{4}-6 x^{2}+20 x-24$$