91Ó°ÊÓ

Graph each finction in the standand viewing window of your calculator, and trace from left to right along a representative portion of the specified interval. Then fill in the blank of the following sentence with either increasing or decreasing. $$f(x)=x^{2}-2 x ;(1, \infty)$$

Use the results of the specified exercises to determine (a) the domain and (b) the range of each function. $$y=(x-3)^{2}$$

Graph each equation by hand. $$y=3-x, y=|3-x|$$

The graph of \(y=0.5 \sqrt[3]{x+2}\) can be obtained from the graph of \(y=\sqrt[3]{x}\) by shifting horizontally ____________ units to the __________ and shrinking vertically by applying a factor of _________.

Graph each equation by hand. $$y=\frac{1}{2} x, y=\left|\frac{1}{2} x\right|$$

Graph each finction in the standand viewing window of your calculator, and trace from left to right along a representative portion of the specified interval. Then fill in the blank of the following sentence with either increasing or decreasing. $$f(x)=2-x^{2} ;(-\infty, 0)$$

Give the equation of each function whose graph is described. The graph of \(y=x^{2}\) is vertically shrunk by applying a factor of \(\frac{1}{2},\) and the resulting graph is shifted 7 units downward.

Use the results of the specified exercises to determine (a) the domain and (b) the range of each function. $$y=|x+4|-3$$

Use the results of the specified exercises to determine (a) the domain and (b) the range of each function. $$y=|x-4|-3$$

Graph each equation by hand. $$y=-2 x, y=|-2 x|$$