91Ó°ÊÓ

Determine whether the equation is an identity or a conditional equation. $$ \frac{5}{x}+\frac{3}{x}=24 $$

\(A=\\{a, b, c\\}\) and \(B=\\{0,1,2,3\\}\) (a) \(\\{(a, 1),(c, 2),(c, 3),(b, 3)\\}\) (b) \(\\{(a, 1),(b, 2),(c, 3)\\}\) (c) \(\\{(1, a),(0, a),(2, c),(3, b)\\}\) (d) \(\\{(c, 0),(b, 0),(a, 3)\\}\)

Find the slope and \(y\)-intercept (if possible) of the equation of the line. Sketch the line. \(y=x-10\)

use a graphing utility to graph the function. Be sure to choose an appropriate viewing window. $$ f(x)=3 x-\frac{5}{2} $$

Find (a) \((f+g)(x)\), (b) \((f-g)(x)\), (c) \((f g)(x)\), and (d) \((f / g)(x)\). What is the domain of \(f / g\) ? \(f(x)=\sqrt{x^{2}-4}\), \(g(x)=\frac{x^{2}}{x^{2}+1}\)

Use the Vertical Line Test to determine whether \(y\) is a function of \(x\). To print an enlarged copy of the graph. $$ y=\frac{1}{4} x^{3} $$

In Exercises 7-10, use a calculator to find the decimal form of the rational number. If it is a nonterminating decimal, write the repeating pattern. $$ \frac{5}{8} $$

Find the slope and \(y\)-intercept (if possible) of the equation of the line. Sketch the line. \(y=-\frac{1}{2} x+4\)

use a graphing utility to graph the function. Be sure to choose an appropriate viewing window. $$ f(x)=-\frac{1}{6} x-\frac{5}{2} $$

Determine the quadrant(s) in which \((x, y)\) is located so that the condition(s) is (are) satisfied. \(x=-4\) and \(y>0\)