Name:________________________________
College Algebra Unit 2 Practice
Answer the following questions. Turn this by the end of class regardless if
you are finished!
1. Find the equation of the line containing the two centers of the circles listed below in:
a) slope intercept form
b) point slope form
c) general form
2. The figure below shows two circles (labeled A and B) intersecting at a common point. Line
segment L goes through the centers of both circles. If the midpoint of the line segment L is the
intersection point (1,5), determine the general equation for each of the circles.
Name:________________________________
3. In the figure below, circle P and circle Q share the same center point. Segment AB is a
diameter of the larger circle P. Given the general equations below for the circles, determine the
length of segment BC. Give your answer in simplified radical form.
In the following, is y a function of x?
4.
5.
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6. Use the function below to answer the following questions.
a) Is the point (3,1) on the graph? What about (-1,3)?
b) If x = 7, what is f (x)? What is the point on the graph of f ?
c) If f (x) = -2, what is x? What is the point on the graph of f ?
d) What is the domain of f ?
e) Find the intercepts of f ?
Name:________________________________
7. Use the graph below to answer the following questions.
a) Find f(-3), f(0), and f(5).
b) Is f(-1) positive, negative, or neither?
c) Is f(4) positive, negative, or neither?
d) For what numbers x is f(x)=0? What are the points?
e) For what numbers x is f(x) > 0?
Name:________________________________
f) What is the domain of f?
g) What is the range of f?
h) What are the x-intercepts?
i) What are the y-intercepts?
j) How often does the line y=4 intersect the graph?
k) How often does the line x=10 intersect the graph?
l) For what values of x does f(x)=2?
m) For what values of x does f(x)=-2?