Additional Practice Problems
Math 121, College Algebra
Fall 2011
The final exam for Math 121 will be Monday December 12th 10:00-12:00and will be cumulative. It will be a
mixture of multiple choice questions and problems to complete showing your work. No note cards will be
allowed. Only a scientific calculator will be allowed. Do not bring a graphing calculator. To study, please redo
all past exams and quizzes in addition to looking over your homework for the term. Anything you have been
tested or quizzed on during the term could be on the final. These problems are additional if you want more
practice.
1. For the circle
x2+
(
yโ1
)
2=16
a. State the center and radius. Graph the circle. Place the circle correctly on the axes.
b. Find the x and y intercepts and label them on your graph.
1. Given the two points
(
โ4,6
)
and
(
3,โ1
)
a. Plot them on the coordinate grid.
b. Find the distance between them
c. Find the midpoint of the line segment joining
them and put the midpoint on the same grid.
2. Find the distance between the two points
(
3,โ5
)
and
(
2,7
)
.
3. Find the midpoint between the two points
(
3,โ5
)
and
(
2,7
)
. All three points on the same grid to verify that
the midpoint you found lies between the two given points.
4. For the function
f(x)=1+2x2
find
f(x+h)โf(x)
h
and simplify.
5. Find the average rate of change of
f(x)=x3+2
from 1 to 3.
6. Be able to graph all of the basic graphs we discussed during the term. Also be able to state their domains,
ranges, intercepts and any asymptotes.
7. Graph
f(x)= โ
โ
x
a. Label at least two points.
b. State the domain and range
8. Graph
f(x)=4โx2
a. Label at least two points.
b. State the domain and range.
c. Over what intervals is
f(x)
increasing and decreasing?
9. Graph
f(x)=
(
xโ4
)
3
a. Label at least two points.
b. State the domain and range.
c. Find all intercepts.
10. Graph
f(x)=| x|+ 2
a. Label at least three points.
