91Ó°ÊÓ

Decide whether each statement is true or false. If the statement is false, tell why. The distance from the origin to the point \((a, b)\) is \(\sqrt{a^{2}+b^{2}}\)

(a) find the center-radius form of the equation of each circle, and (b) graph it. center \((2,0),\) radius 6

(a) find the center-radius form of the equation of each circle, and (b) graph it. center \((3,0),\) radius 3

Match the description in Column I with the correct response in Column II. Some choices may not be used. A. \(f(x)=5 x\) B. \(f(x)=3 x+6\) C. \(f(x)=-8\) D. \(f(x)=x^{2}\) E. \(x+y=-6\) F. \(=3 x+4\) G. \(2 x-y=-4\) H. \(x=9\) a linear function whose graph passes through the origin

(a) find the center-radius form of the equation of each circle, and (b) graph it. center \((5,-4),\) radius 7

For the pair of functions defined, find \((f+g)(x),(f-g)(x),(f g)(x),\) and \(\left(\frac{f}{g}\right)(x)\) Give the domain of each. $$f(x)=2 x^{2}-3 x, g(x)=x^{2}-x+3$$

Graph each linear function. Identify any constant functions. Give the domain and range. $$f(x)=-2 x$$

For each piecewise-defined function, find (a) \(f(-5),\) (b) \(f(-1),\) (c) \(f(0),\) and ( \(d\) ) \(f(3)\) See Example 2. $$f(x)=\left\\{\begin{array}{ll} 2+x & \text { if } x < -4 \\ -x & \text { if }-4 \leq x \leq 2 \\ 3 x & \text { if } x > 2 \end{array}\right.$$

Graph each line. Give the domain and range. $$x=3$$

Decide whether or not each equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. $$x^{2}+y^{2}+8 x-6 y+16=0$$