Math 103(106L) Exam 2 Solutions

Read each question very carefully. You are NOT permitted to use a calculator on any portion of
this exam. You are not allowed to use any textbook, notes, cellphone, or laptop on either portion
of the exam. No part of this exam may be removed from the examination room.

In order to receive full credit for the free response portion of the exam, you must:
1. Show legible and logical (relevant) justification which supports your final answer.
2. Use complete and correct mathematical notation .
3. Include proper units, if necessary.
4. Give exact numerical values whenever possible.

You have 90 minutes to complete the entire exam

On my honor, I have neither given nor received inappropriate or unauthorized information
during this exam.

Student’ s Signature : ________________________________________________

Do not write below this line .

Multiple Choice . There are 22 multiple choice questions. Each question is worth 2 – 3
points and has one correct answer. The multiple choice problems will count 50% of the
total grade. Use a number 2 pencil and bubble in the letter of your response on the
scantron sheet for problems 1 – 22. For your own record, also circle your choice on your
exam since the scantron will not be returned to you. Only the responses recorded on your
scantron sheet will be graded. You are NOT permitted to use a calculator on any portion of
this exam.

1.Match the graph to its equation y = ln(x - 1) + 2 .
(2 pts.)
 

2.Evaluate the following:
(2 pts.)

3. It can be shown that the inequality holds for all .Find .
(2 pts.)

4. Solve for x :
(2 pts.)

5. Factor the following expression completely:
(3 pts.)

6.If , find
(3 pts.)

7.Find .
(2 pts.)

8.Use the graph below to find the largest possible > 0 such that for all x,
(2 pts.)

9.Evaluate the following:
(2 pts.)
 

10.Find the average rate of change of f (x) = 4x² over the interval
(3 pts.)

11.Factor the following expression completely :
(2 pts.)

12.Find .
(3 pts.)

13.Find
(3 pts.)

14.Evaluate
(2 pts.)

15.Solve for x:
(2 pts.)

16.State the domain and range of
(2 pts.)

17.Find
(2 pts.)

18.Find
(3 pts.) 

19.Simplify
(2 pts.)

20.Simplify .
(2 pts.)

21.Simplify
(2 pts.)

22. Simplify tan (sec^-1 x) and indicate where the simplification is valid.
(2 pts.)