MAT 151Final Sp 2020

St. Amand

Name__________________________

Date___________________________

Please show all work for complete credit.

1.

Given the following piece-wise defined function:

− x 2

− 2 x 1

f ( x) = − 2 x − 7

3 x5

3

7 x 10

a) Find f (1) ______________

d) domain (interval notation)___________

7

_____________

2

b) Find f

c) Find f (8) ______________

e) range (interval notation)____________

d) Sketch f (x )

College Algebra

L. St. Amand

Final

Sp 2019

1

2. The graph of g (x ) is given below.

Find the corresponding points that lie on the graph of

2g (x − 2) − 2 and sketch its graph on the same set of axes as g (x ) .

g (x )

(-2,0) becomes______________

(0,2) becomes_______________

(2,-1) becomes_______________

(4,0) becomes________________

3. Tell if the function f ( x ) =

x2 + 2

− x3

is even, odd or neither. Show your ‘test’ for complete credit.

3. __________________________

College Algebra

L. St. Amand

Final

Sp 2019

2

4. Given

f (x ) = − x 2 − 2 x + 1. Find the difference quotient

f (x + h ) − f (x )

.

h

4. __________________________

5. Find the complex zeroes for each of the following. Use the method you feel is best, unless

otherwise noted. Write your answer as a solution set { } on the line for each problem.

a. 2( x − 3) + 5 = 1

2

a.

College Algebra

L. St. Amand

Final

Sp 2019

_____________________

3

b. 5 x( x − 3) = −4 3 x −

1

2

b. _____________________

a.

0 = 5x + 13 x − 6 use u-substitution. Define u

c.______________________

6. Solve − 2( x − 2 ) ( x + 4 )( x + 2 ) 0 give your answer in interval notation.

2

3

6. _____________________

College Algebra

L. St. Amand

Final

Sp 2019

4

7. Use the remainder theorem to find

f (2) for f (x ) = x 2 + x − 6

7. ______________________

8. Provide the requested information for the function below

y = log 2 (x + 1) − 3

Domain:_____________________

Range:______________________

Asymptote equation:____________

Intercept(s):__________________

x-y chart:

College Algebra

L. St. Amand

Final

Sp 2019

5

9. Find the inverse of the function f ( x ) =

2x + 4

using the 4 step method

3 − 7x

9.__________________________

10. Solve for x: 5

x−2

= 4x .

Exact______________________

Approx.____________________

College Algebra

L. St. Amand

Final

Sp 2019

6

− 4x + 3

+ 1. Give the answer in interval notation.

3 − 2x

11. Find the domain of y = log

11.________________________

12. Solve using a matrix. You must clearly indicate your row operations. Do not just plug into a

calculator

𝑥+𝑦−𝑧 = 6

{ 3𝑥 − 2𝑦 + 𝑧 = −5

𝑥 + 3𝑦 − 2𝑧 = 14

College Algebra

L. St. Amand

Final

Sp 2019

7

12._____________________

x − x −8

(x + 1)(x 2 + 5x + 6)

2

13. Find the partial fraction decomposition of

13.__________________________

14. Solve the system :

x 2 − y 2 = 21

using substitution

x+y=7

14.__________________________

College Algebra

L. St. Amand

Final

Sp 2019

8

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more