91Ó°ÊÓ

In Exercises \(13-20\), sketch the graph of the given piecewise-defined function. $$ f(x)=\left\\{\begin{array}{rll} x^{2} & \text { if } & x \leq-2 \\ 3-x & \text { if } & -2

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=2 x-5$$

Write the set using interval notation. $$ \\{x \mid-3

In Exercises \(11-20\), use the pair of functions \(f\) and \(g\) to find the domain of the indicated function then find and simplify an expression for it. $$ f(x)=x \text { and } g(x)=\sqrt{x+1} $$

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=5-2 x$$

In Exercises \(13-20\), sketch the graph of the given piecewise-defined function. $$ f(x)=\left\\{\begin{aligned} \frac{1}{x} & \text { if } \quad-6

Plot and label the points \(A(-3,-7), B(1.3,-2), C(\pi, \sqrt{10}), D(0,8), E(-5.5,0), F(-8,4),\) \(G(9.2,-7.8)\) and \(H(7,5)\) in the Cartesian Coordinate Plane given below.

Graph the given relation. $$ \left\\{(x, y) \mid-\sqrt{2} \leq x \leq \frac{2}{3}, \pi

Use the given function \(f\) to find and simplify the following: \- \(f(2)\) \- \(2 f(a)\) \- \(f\left(\frac{2}{a}\right)\) \- \(f(-2)\) \- \(f(a+2)\) -\(\frac{f(a)}{2}\) \- \(f(2 a)\) \- \(f(a)+f(2)\) \- \(f(a+h)\) $$f(x)=2 x^{2}-1$$

In Exercises \(21-41,\) determine analytically if the following functions are even, odd or neither. $$ f(x)=7 x $$