91Ó°ÊÓ

In Exercises \(13-24,\) find \(f^{-1}\) and verify that $$\left(f \circ f^{-1}\right)(x)=\left(f^{-1} \circ f\right)(x)=x$$ \(f(x)=2 x+3\)

In Exercises \(11-14,\) determine (a) the period, (b) the domain, (c) the range, and (d) draw the graph of the function. $$y=2 \sin \left(2 x+\frac{\pi}{3}\right)$$

In Exercises 13-20, use a grapher to (a) identify the domain and range and (b) draw the graph of the function. $$y=2 \sqrt{3-x}$$

In Exercises \(13-24,\) find \(f^{-1}\) and verify that $$\left(f \circ f^{-1}\right)(x)=\left(f^{-1} \circ f\right)(x)=x$$ \(f(x)=5-4 x\)

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? $$x=4 \sin t, \quad y=5 \cos t, \quad 0 \leq t \leq 2 \pi$$

In Exercises \(13-16,\) write the point-slope equation for the line through the point \(P\) with slope \(m .\) $$P(-1,1), \quad m=-1$$

In Exercises \(13-24,\) find \(f^{-1}\) and verify that $$\left(f \circ f^{-1}\right)(x)=\left(f^{-1} \circ f\right)(x)=x$$ \(f(x)=x^{3}-1\)

In Exercises 13-20, use a grapher to (a) identify the domain and range and (b) draw the graph of the function. $$y=\sqrt[3]{1-x^{2}}$$

In Exercises 15 and 16, choose an appropriate viewing window to display two complete periods of each trigonometric function in radian mode. (a)(a) \(y=\sec x\) (b)\(y=\csc x\) (c)\(y=\cot x\)

In Exercises \(13-16,\) write the point-slope equation for the line through the point \(P\) with slope \(m .\) $$P(0,3), \quad m=2$$