91Ó°ÊÓ

Let \(f(x)=x^{2}+3 x\) and \(g(x)=2 x-1 .\) Perform the composition or operation indicated. $$(f-g)(-2)$$

Skills Graph each piecewise-defined function in Exercises \(9-20 .\) Is \(f\) continuous on its domain? Do not use a calculator. $$f(x)=\left\\{\begin{array}{ll} 0.5 x^{2} & \text { if }-4 \leq x \leq-2 \\\ x & \text { if }-2

Let \(f(x)=x^{2}+3 x\) and \(g(x)=2 x-1 .\) Perform the composition or operation indicated. $$(g-f)(-2)$$

Use graphing to determine the domain and range of \(y=f(x)\) and of \(y=|f(x)|\). $$f(x)=-1-(x-2)^{2}$$

Skills Graph each piecewise-defined function in Exercises \(9-20 .\) Is \(f\) continuous on its domain? Do not use a calculator. $$f(x)=\left\\{\begin{array}{ll} x^{3}+3 & \text { if }-2 \leq x \leq 0 \\\ x+3 & \text { if } \quad 0

Use transformations of graphs to sketch the graphs of \(y_{1}, y_{2},\) and \(y_{3}\) by hand. Check by graphing in an appropriate viewing window of your calculator. $$y_{1}=x^{2}-1, \quad y_{2}=\left(\frac{1}{2} x\right)^{2}-1, \quad y_{3}=(2 x)^{2}-1$$

Use transformations of graphs to sketch the graphs of \(y_{1}, y_{2},\) and \(y_{3}\) by hand. Check by graphing in an appropriate viewing window of your calculator. $$y_{1}=3-|x|, \quad y_{2}=3-|3 x|, \quad y_{3}=3-\left|\frac{1}{3} x\right|$$

Let \(f(x)=x^{2}+3 x\) and \(g(x)=2 x-1 .\) Perform the composition or operation indicated. $$\left(\frac{f}{g}\right)\left(\frac{1}{2}\right)$$

Skills Graph each piecewise-defined function in Exercises \(9-20 .\) Is \(f\) continuous on its domain? Do not use a calculator. $$f(x)=\left\\{\begin{array}{ll} -2 x & \text { if }-3 \leq x<-1 \\ x^{2}+1 & \text { if }-1 \leq x \leq 2 \\ \frac{1}{2} x^{3}+1 & \text { if } 2

Use transformations of graphs to sketch the graphs of \(y_{1}, y_{2},\) and \(y_{3}\) by hand. Check by graphing in an appropriate viewing window of your calculator. $$y_{1}=\sqrt[3]{x}, \quad y_{2}=\sqrt[3]{-x}, \quad y_{3}=\sqrt[3]{-(x-1)}$$