Problem 3
In Exercises \(1-4,\) graph the function. State its domain and range. $$y=3 \cdot e^{-x}-2$$
Problem 3
In Exercises \(1-4,\) find the coordinate increments from \(A\) to \(B\) $$A(-3,1), \quad B(-8,1)$$
Problem 4
In Exercises \(1-4,\) graph the function. State its domain and range. $$y=-2^{-x}-1$$
Problem 4
In Exercises \(1-4,\) find the coordinate increments from \(A\) to \(B\) $$A(0,4), \quad B(0,-2)$$
Problem 4
the volume \(V\) of a sphere as a function of the sphere's radius \(r ;\) the volume of a sphere of radius 3 cm.
Problem 4
In Exercises \(1-4,\) the angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius, or arc length. \(\begin{array}{ll}{\text { Angle }} & {\text { Radius }} &{\text {Arc Length }} \\ {?} & {6} & {3 \pi / 2}\end{array}\)
Problem 5
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=3 t, \quad y=9 t^{2}, \quad-\infty
Problem 5
In Exercises \(5-8,\) let \(L\) be the line determined by points \(A\) and \(B .\) \(\begin{array}{ll}{\text { (a) Plot } A \text { and } B .} & {\text { (b) Find the slope of } L} \\ {\text { (c) Draw the graph of } L .}\end{array}\) $$A(1,-2), \quad B(2,1)$$
Problem 5
In Exercises 5-12, (a) identify the domain and range and (b) sketch the graph of the function. $$y=4-x^{2}$$
Problem 5
In Exercises \(5-8,\) rewrite the exponential expression to have the indicated base. \(9^{2 x}, \quad\) base 3
