91Ó°ÊÓ

Sketch the graph of each piecewise-defined function. Write the domain and range of each function. $$f(x)=\left\\{\begin{array}{lll} {|x|} & {\text { if }} & {x \leq 0} \\ {x^{2}} & {\text { if }} & {x>0} \end{array}\right.$$

Solve. See the Concept Check in this section. Choose the type of variation that each equation represents. a Direct variation b. Inverse variation c. Joint variation $$ y=\frac{2}{3} x $$

Find the equation of each line. Write the equation using standard notation unless indicated otherwise. Through \((2,-8)\) and \((-6,-5) ;\) use function notation.

Sketch the graph of each piecewise-defined function. Write the domain and range of each function. $$f(x)=\left\\{\begin{aligned} x^{2} & \text { if } \quad x<0 \\ \sqrt{x} & \text { if } \quad x \geq 0 \end{aligned}\right.$$

Solve. See the Concept Check in this section. Choose the type of variation that each equation represents. a Direct variation b. Inverse variation c. Joint variation $$ y=\frac{0.6}{x} $$

Find the equation of each line. Write the equation using standard notation unless indicated otherwise. Through \((-4,-2)\) and \((-6,5)\); use function notation.

Sketch the graph of each piecewise-defined function. Write the domain and range of each function. $$g(x)=\left\\{\begin{array}{ll} {|x-2|} & {\text { if } \quad x<0} \\ {-x^{2}} & {\text { if } \quad x \geq 0} \end{array}\right.$$

Solve. Write the solution in interval notation. $$ 2 x-7 \leq 21 $$

Solve. See the Concept Check in this section. Choose the type of variation that each equation represents. a Direct variation b. Inverse variation c. Joint variation $$ y=9 a b $$

Solve. See the Concept Check in this section. Choose the type of variation that each equation represents. a Direct variation b. Inverse variation c. Joint variation $$ x y=\frac{2}{11} $$