Pre-Calculus homework

Math 115 Final Examination Fall, 2019 1

Math 115 PreCalculus Name______________________________

Final Examination: Fall, 2019 Instructor __________________________

Answer Sheet

Instructions:

This is an open-book exam. You may refer to your text and other course materials as you work

on the exam, and you may use a calculator.

Record your answers and work in this document.

There are 28 problems.

Problems #1-6 are multiple choice. Record your choice for each problem.

Problems #7-17 are short answer. Record your answer for each problem.

Problems #18-28 are short answer with work required. When requested, show all work and write

all answers in the spaces allotted on the following pages. You may type your work using plain-

text formatting or an equation editor, or you may hand-write your work and scan it. In either

case, show work neatly and correctly, following standard mathematical conventions. Each step

should follow clearly and completely from the previous step. If necessary, you may attach extra

pages.

You must complete the exam individually. Neither collaboration nor consultation with

others is allowed. Your exam will receive a zero grade unless you complete the following

honor statement.

Please sign (or type) your name below the following honor statement:

I have completed this final examination myself, working independently and not consulting

anyone except the instructor. I have neither given nor received help on this final examination.

Name _____________________ Date___________________

Math 115 Final Examination Fall, 2019 2

MULTIPLE CHOICE. Record your answer choices.

1.

2.

3.

4.

5.

6.

SHORT ANSWER. Record your answers below.

7. (a)

(b)

(c)

8.

9.

10.

11.

12. (a)

(b)

13. (a)

(b)

Math 115 Final Examination Fall, 2019 3

14.

15. (a)

(b)

16. (a)

(b)

(c)

17. (a)

(b)

(c)

(d)

SHORT ANSWER with Work Shown. Record your answers and work.

Problem

Number Solution

18

Answer:

Work:

Math 115 Final Examination Fall, 2019 4

19

Answer:

Work:

20

Answers:

(a)

(b)

Work for both parts:

Math 115 Final Examination Fall, 2019 5

21

Answers:

(a)

(b)

Work for both parts:

22

Answer:

Work:

Math 115 Final Examination Fall, 2019 6

23

Answers:

(a)

(b)

Work for both parts:

24

Proof:

Math 115 Final Examination Fall, 2019 7

25

Answer:

Work:

26

Answer:

Work:

Math 115 Final Examination Fall, 2019 8

27

Answers:

(a)

(b)

Work for both parts:

28

Answers:

(a)

(b)

Work for part (b):