91Ó°ÊÓ

Determining Quadrant(s) for a Point, determine the quadrant(s) in which \((x, y)\) is located so that the condition(s) is (are) satisfied. $$ x<0 \text { and } y<0 $$

Determine whether each point lies on the graph of the equation. \(y=4-|x-2|\) (a) \((1,5) \quad\) (b) \((6,0)\)

Testing for Functions In Exercises 9 and 10, which sets of ordered pairs represent functions from \(A\) to \(B ?\) Explain. \(A=\\{a, b, c\\}\) and \(B=\\{0,1,2,3\\}\) $$ \begin{array}{l}{\text { (a) }\\{(a, 1),(c, 2),(c, 3),(b, 3)\\}} \\ {\text { (b) }\\{(a, 1),(b, 2),(c, 3)\\}} \\ {\text { (c) }\\{(1, a),(0, a),(2, c),(3, b)\\}} \\ {\text { (d) }\\{(c, 0),(b, 0),(a, 3)\\}}\end{array} $$

Finding an Inverse Function Informally In Exercises \(7-12\) , find the inverse function of \(f\) informally. Verify that \(f\left(f^{-1}(x)\right)=x\) and \(f^{-1}(f(x))=x\) $$f(x)=\frac{x-1}{5}$$

Fill in the blank: The constant function and the identity function are two special types of _________ functions.

Finding Arithmetic Combinations of Functions, find \((a)(f+g)(x),\) (b) \((f-g)(x)\) (c) \((f g)(x),\) and \((d)(f g)(x)\) . What is the domain of \(f g ?\) $$f(x)=\sqrt{x^{2}-4}, \quad g(x)=\frac{x^{2}}{x^{2}+1}$$

Determine whether each point lies on the graph of the equation. \(y=|x-1|+2\) (a) \((2,3) \quad\) (b) \((-1,0)\)

Determining Quadrant(s) for a Point, determine the quadrant(s) in which \((x, y)\) is located so that the condition(s) is (are) satisfied. $$ x=-4 \text { and } y>0 $$

Finding an Inverse Function Informally In Exercises \(7-12\) , find the inverse function of \(f\) informally. Verify that \(f\left(f^{-1}(x)\right)=x\) and \(f^{-1}(f(x))=x\) $$f(x)=\sqrt[3]{x}$$

Testing for Functions Represented Algebraically In Exercises \(11-20\) , determine whether the equation represents \(y\) as a function of \(x .\) $$x^{2}+y^{2}=4$$