91Ó°ÊÓ

In Exercises \(5-8,\) let \(L\) be the line determined by points \(A\) and \(B .\) \(\begin{array}{ll}{\text { (a) Plot } A \text { and } B .} & {\text { (b) Find the slope of } L} \\ {\text { (c) Draw the graph of } L .}\end{array}\) $$A(-2,-1), \quad B(1,-2)$$

In Exercises 5-12, (a) identify the domain and range and (b) sketch the graph of the function. $$y=x^{2}-9$$

In Exercises \(5-22,\) a parametrization is given for a curve. (a) Graph the curve. What are the initial and terminal points, if any? Indicate the direction in which the curve is traced. (b) Find a Cartesian equation for a curve that contains the parametrized curve. What portion of the graph of the Cartesian equation is traced by the parametrized curve? $$x=-\sqrt{t}, \quad y=t, \quad t \geq 0$$

In Exercises \(5-8,\) rewrite the exponential expression to have the indicated base. \(16^{3 x}, \quad\) base 2

In Exercises \(5-8,\) rewrite the exponential expression to have the indicated base. \((1 / 8)^{2 x}, \quad\) base 2

In Exercises \(5-22,\) a parametrization is given for a curve. (a) Graph the curve. What are the initial and terminal points, if any? Indicate the direction in which the curve is traced. (b) Find a Cartesian equation for a curve that contains the parametrized curve. What portion of the graph of the Cartesian equation is traced by the parametrized curve? \(x=t, \quad y=\sqrt{t}, \quad t \geq 0\)

In Exercises \(7-12,\) determine whether the function has an inverse function. $$y=\frac{3}{x-2}-1$$

In Exercises 5-12, (a) identify the domain and range and (b) sketch the graph of the function. $$y=2+\sqrt{x-1}$$

In Exercises \(5-8,\) let \(L\) be the line determined by points \(A\) and \(B .\) \(\begin{array}{ll}{\text { (a) Plot } A \text { and } B .} & {\text { (b) Find the slope of } L} \\ {\text { (c) Draw the graph of } L .}\end{array}\) $$A(2,3), \quad B(-1,3)$$

In Exercises \(5-8,\) let \(L\) be the line determined by points \(A\) and \(B .\) \(\begin{array}{ll}{\text { (a) Plot } A \text { and } B .} & {\text { (b) Find the slope of } L} \\ {\text { (c) Draw the graph of } L .}\end{array}\) $$A(1,2), \quad B(1,-3)$$