91Ó°ÊÓ

In \(3-8,\) for each function: a. Write an expression for \(f(x) .\) b. Find \(f(5)\) \(x \stackrel{\mathrm{f}}{\rightarrow} x^{2}\)

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

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. $$ P(0,-3), C(0,0) $$

In \(3-10,\) find each of the function values when \(\mathrm{f}(x)=4 x\) $$ \mathrm{I}(-2) $$

In \(3-8,\) for each function: a. Write an expression for \(f(x) .\) b. Find \(f(5)\) \(\mathrm{f} : x \rightarrow|3 x-7|\)

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? $$ \\{(2,7),(3,7),(4,7),(5,7),(6,7)\\} $$

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. $$ P(4,0), C(0,0) $$

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. $$ \\{(-2,5),(-1,5),(0,5),(1,5),(2,5)\\} $$

In \(3-6,\) find the coordinates of the ordered pair with the smallest value of \(y\) for each function. $$ f(x)=\left|\frac{x}{2}-7\right| $$

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