91Ó°ÊÓ

In \(3-10\) , evaluate each composition for the given values if \(f(x)=3 x\) and \(g(x)=x-2\) $$ \mathrm{f}(\mathrm{g}(4)) $$

In \(3-8,\) for each function: a. Write an expression for \(f(x) .\) b. Find \(f(5)\) \(y=x-2\)

In \(3-6,\) find the coordinates of the ordered pair with the smallest value of \(y\) for each function. $$ y=|x| $$

Let \(f=\\{(0,5),(1,4),(2,3),(3,2),(4,1),(5,0)\\}\) and \(g=\\{(1,1),(2,4),(3,9),(4,16),(5,25)(6,36)\\}\) \(\begin{array}{ll}{\text { a. What is the domain of } \mathrm{f} \text { ? }} & {\text { b. What is the domain of } \mathrm{g} ?} \\ {\text { c. What is the domain of }(\mathrm{g}-\mathrm{f}) ?} & {\text { d. List the ordered pairs of }(\mathrm{g}-\mathrm{f}) \text { in set notation. }} \\ {\text { e. What is the domain of } \frac{\mathrm{g}}{\mathrm{f}} ?} & {\text { f. List the ordered pairs of } \frac{\mathrm{g}}{\mathrm{f}} \text { in set notation. }}\end{array}\)

In \(3-5 :\) a. Explain why each set of ordered pairs is or is not a function. b. List the elements of the domain. c. List the clements of the range. $$ \\{(1,1),(2,4),(3,9),(4,16)\\} $$

In \(3-10\) , the coordinates of point \(P\) on the circle with center at \(C\) are given. Write an equation of each circle: a. in center-radius form b. in standard form. $$ P(0,2), C(0,0) $$

In \(3-6,\) each set represents a function. a. What is the domain of each function? b. What is the range of each function? c.Is the function one-to-one? $$ \\{(1,4),(2,7),(3,10),(4,13)\\} $$

In \(3-10,\) find each of the function values when \(\mathrm{f}(x)=4 x\) $$ \mathrm{I}(3) $$

In \(3-5 :\) a. Explain why each set of ordered pairs is or is not a function. b. List the elements of the domain. c. List the clements of the range. $$ \\{(1,-1),(0,0),(1,1)\\} $$

In \(3-10\) , the coordinates of point \(P\) on the circle with center at \(C\) are given. Write an equation of each circle: a. in center-radius form b. in standard form. $$ P(0,-3), C(0,0) $$