Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

MATH 3C Winter 2008 Midterm #2: Solution Guide, Exams of Pre-Calculus

University of California - San DiegoPre-Calculus

Solutions to the winter 2008 midterm #2 exam for math 3c. The exam includes multiple-choice questions and problem-solving tasks. Students are not allowed to use calculators or notes during the exam. Topics such as inverse functions, limits, periodic functions, even functions, trigonometric identities, and quadratic functions.

Typology: Exams

Pre 2010

Uploaded on 03/28/2010

koofers-user-r1e-1
koofers-user-r1e-1 🇺🇸

10 documents

1 / 5

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
WINTER 2008
MATH 3C
MIDTERM #2 Version #1
The exam will be closed book and notes. Calculators are not permitted.
All work must be your own. Problem 1 does not require that you show
any work. However, on problems 2-4, no credit will be given for
unsupported answers.
Keep the exam closed until told to begin. You have 50 minutes. If you
leave the room you must turn in your exam.
(Do not write in spaces below)
1. (25 points)
2. (30 points)
3. (25 points)
4. (20 points)
Total Points (100 points)
Name:
Discussion Section:
pf3
pf4
pf5

Partial preview of the text

Download MATH 3C Winter 2008 Midterm #2: Solution Guide and more Exams Pre-Calculus in PDF only on Docsity!

WINTER 2008

MATH 3C

MIDTERM #2 Version

The exam will be closed book and notes. Calculators are not permitted.

All work must be your own. Problem 1 does not require that you show

any work. However, on problems 2-4, no credit will be given for

unsupported answers.

Keep the exam closed until told to begin. You have 50 minutes. If you

leave the room you must turn in your exam.

(Do not write in spaces below)

1. (25 points)

2. (30 points)

3. (25 points)

4. (20 points)

Total Points (100 points)

Name:

Discussion Section:

  1. (25 points) For each statement, circle T if it is True; circle F if it is False. No justification is necessary. Each part is worth 3 points. a. ( T F ) If f ( x )=ln( x )and x g ( x )= e , then f ( x )and g ( x )are inverse functions of each other. b. ( T F ) If f has the graph shown below, then + =!" # lim ( ) 1 f x x

c. ( T F ) If f ( x )is a periodic function of period 3, then a horizontal shift to the left by 9 units does not change the graph of f. d. ( T F ) The function f ( x )= 2 ( x! 1 )^2 + 3 is not an even function. e. ( T F ) cos( 3 !)= 1.

f. ( T F ) ( )

14 14 log( 3 )= log 3. g. ( T F ) An angle of 1 radian spans an arc length of! on the unit circle.

h. ( T F ) The range of cos( !)is [! 1 , 1 ].

  1. (25 points) Consider the quadratic function g ( x )=! x^2! 8 x! 18. a. (10 points) Write the function in vertex form g ( x )= a ( x! h )^2 + k. b. (10 points) Describe the sequence of transformations applied to f ( x )= x^2 that gives g ( x ). c. (5 points) Graph g ( x ). Label the vertex.

Solve for x in each of the following equations. (5 points each) a. 6 ( 3 ) = 600 x b. 5 2

3 2 x^ = x c. 4 e^3 x^ = 3 ex +^1 d. log( 3 x + 1 )!log( x )= 1