Math 121, Test 2, February 4, 2005
Name:
Instructions. Do each of the following 10 problems. Each problem is worth 5pts. Show all
appropriate details in your solutions.
1. Find: (a) the distance between (2,−3) and (−1,1) and (b) the midpoint of (2,−3) and
(−1,1).
2. Write the equation of the circle x2+y2−14x+ 8y+ 56 = 0 in standard form, and find the
center and radius of the circle.
3. (a) Is the graph of x2+y2= 25 the graph of a function? Explain.
(b) Find the domain of f(x) = √x+ 3 −1
3−x. Write your answer in interval form.
4. Find the equation of the line that passes through the point (−3,2) and is parallel to the
line y+ 2x= 14. Write your answer in slope-intercept form.
