91Ó°ÊÓ

In Exercises 1 through 10, list the elements of the given set if \(A=\\{0,2,4,6,8\\}, B=\\{1,2,4,8\\}, C=\\{1,3,5,7,9\\}\), and \(D=\) \(\\{0,3,6,9\\}\). $$ A \cap C $$

In Exercises 7 through 12, the functions \(f\) and \(g\) are defined. In each problem define the following functions and determine the domain of the resulting function: (a) \(f+g ;\) (b) \(f-g ;\) (c) \(f \cdot g ;\) (d) \(f / g ;\) (e) \(g / f\); (f) \(f \circ g ;(\mathrm{g}) g \circ f\). $$ f(x)=\sqrt{x} ; g(x)=x^{2}+1 $$

In Exercises 7 through 28 , draw a sketch of the graph of the equation. $$ y=4 x-3 $$

In Exercises 5 through 14, find an equation of the line satisfying the given conditions. $$ \text { Through the point }(1,-7) \text { and parallel to the } x \text { axis. } $$

In Exercises 1 through 10 , find the domain and range of the given function, and draw a sketch of the graph of the function. $$ H=\\{(x, y)|y=| x-3 \mid\\} $$

In Exercises 1 through 10, solve for \(x\). $$ \left|\frac{x+2}{x-2}\right|=5 $$

In Exercises 1 through 10, list the elements of the given set if \(A=\\{0,2,4,6,8\\}, B=\\{1,2,4,8\\}, C=\\{1,3,5,7,9\\}\), and \(D=\) \(\\{0,3,6,9\\}\). $$ (A \cap D) \cup(B \cap C) $$

In Exercises 5 through 14, find an equation of the line satisfying the given conditions. $$ \text { The } x \text { intercept is }-3, \text { and the } y \text { intercept is } 4 \text {. } $$

By using distance formula (1), prove that the points \((-3,2),(1,-2)\), and \((9,-10)\) lie on a line.

In Exercises 1 through 10 , find the domain and range of the given function, and draw a sketch of the graph of the function. $$ \phi=\\{(x, y)|y=| 3 x+2 \mid\\} $$