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Chapter 2: Problem 109
What is a relation? Describe what is meant by its domain and its range.
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Give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation鈥檚 domain and range. $$x^{2}+(y-1)^{2}=1$$
Exercises \(103-105\) will help you prepare for the material covered in the next section. Let \(\left(x_{1}, y_{1}\right)=(7,2) \quad\) and \(\quad\left(x_{2}, y_{2}\right)=(1,-1) . \quad\) Find \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} .\) Express the answer in simplified radical form.
Use a graphing utility to graph each circle whoseequation is given. Use a square setting for the viewing window. $$x^{2}+10 x+y^{2}-4 y-20=0$$
Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}-2 x+y^{2}-15=0$$
Solve each quadratic equation by the method of your choice. $$-x^{2}-2 x+1=0$$
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