I have my questions below. And I will expect quality works with detailed steps for each questions.

final_review_for_math_114.docx

Unformatted Attachment Preview

Don't use plagiarized sources. Get Your Custom Essay on

Final review for math 114

Just from $13/Page

Math 114

Final Review

Warning: The exam will not be exactly like this. Study everything! Spring 2017

Seshu Rao

Show All Work On Exam. Specifically, show work below question.

1. Given y2 x = 4, determine if y is a function of x. (Please justify.)

2. Given the relation {(â??1,4),(â??3,5),(4,5)}, is x a function of y? (Please justify.)

3. Given the graph below, find the domain and range of the relation. Express in interval

notation. Is the relation a function? Please explain.

4. Given f(x) = â??x2 â?? 2x â?? 1, find:

(5)

(a) f(â??1)

(5)

(b) f(a2)

5. Find the domain of

and express in interval notation.

6. Given the graph of f below, answer the following questions.(Assume the graph

continues beyond the grid.)

(3)

(3)

(4)

(a) Find f(0).

(b) Find the values of x where f(x) = 4.

(c) Find the net change from x = â??2 to x = 0.

7. Simplify (â??â??,3] â?© (â??1,â??). Please graph on number line.

8. A hotel charges $90 each night for the first three nights and $70 for each

additionalnightâ??s stay. The total cost T is a function of the number of nights x that a guest

stays. Express T as a piecewise defined function.

9. A jar contains quarters and dimes totaling $3.00. If there are twice as many quarters as

there are dimes, how many of each type are there? Please label your unknowns, set up

equation, solve and check to receive full credit.

10. State the property of real numbers used in x (y z) = (x y) z. Be specific.

11. A ball is thrown vertically in the air and its height after t seconds is given by the function

below. h(t) = â??16t2 80. Find the average speed of the ball between t = 1 and t = 2

seconds.

12. Find the equation of the line containing the points (â??2,â??7) and (â??3,â??3). Express in y = mx

b form.

13. Sketch the graph of 6x â?? 4y = â??12. Please label the ordered pairs of the x and y

interceptsonthegraph.

14. A weather balloon is filled with hydrogen at the rate of 0.75 cubic feet per seconds. After4

seconds the balloon contains 12 cubic feet of hydrogen. Find a linear function that

models the volume, V of hydrogen in the ballon at any time t.

15. Find the intersection point of the the two lines below algebraically.

5x 2.

and y =

16. Given the graph below, find the intersection point graphically and algebraically.

17. Dietmar is in the process of choosing a cell phone and a cell phone plan. The first plan

charges 10 cents per minute plus a monthly fee of $25, and the second plan offers

unlimited minutes for a monthly fee of $60.

(a) Find a linear function f that models the monthly cost f(x) (in dollars) of the first plan

in terms of the number x of minutes used.

(b) Find a linear function g that models the monthly cost g(x) (in dollars) of the second

plan in terms of the number x of mintes used

(c) Determine the number of minutes for which the two plans have the same

monthlycost.

18. Given the graph of the function below, find the average rate of change between x = â??2

and x = 0

19. Classify 2×2 3x â?? 7 = 0 as either having no solution, one solution, or two solutions.

Furthermore classify the solutions as either rational, irrational, or not real. Do not solve!

(D = b2 â?? 4ac)

20. Liam is riding a train that is traveling at a constant speed of 30m/s. Liam is inside

thetrain walking in the direction the train is moving. Liamâ??s speed relative to the train at

time t is

. Find a function V that gives Liamâ??s speed relative to the ground.

2

21. Given f(x) = â??x â?? 2x 4, answer the following questions.

(a) Express in standard form by completing the square. Do not use short-cut formula.

(b) Find the vertex, y intercept, and x intercepts if they exist.

(c) Using symmetry, find an additional point and sketch the graph below. Please

labelall points found above to receive full credit.

22. A model rocket shot straight upward has its height given by h(t) = â??4.9t2 ?. Where h

is in meters and t is in seconds.

(a) When does the rocket reach a maximum height? (Round to nearest 0.1)

(b) What is the maximum height? (Round to nearest 0.1)

(c) When does the rocket hit the ground? (Round to nearest 0.1)

23. Given the graph of the function f(x) below, sketch the graph of the following

transformations. Please label the transformed points on the new graphs. Please show

steps.(One square equals one unit.)

24. Solve |2 â?? 5x| â?¥ 7. Express in interval notation.

25. Factor completely 12×2 16x â?? 3

26. A bacteria colony starts with 1000 bacteria. If the bacteria double every 20 minutes.Find:

(a) Find an exponential model for the number of bacteria x time periods after infection,

where x is the 20-minute time period.

(b) Find an exponential model for the number of bacteria t hours after infection.

27. Suppose $1000 is invested into an account that pays 5.25% compounded quarterly.

Howlong will it take to grow to $1900?

28. Simplify

29. Express 2log(

) as a single logarithm with powers and radicals.

30. Solve the following equations. Check your solutions where applicable.

(a) 3(xâ??1) = 5. (Round to 4 decimal places.)

(b) logx log(x 1) = log12

31. Sketch the graph of y = â??log2(x) using the graph of the parent function y = log2 x.

Please label the points on the graph and the vertical asymptote. State the domain of the

translated graph.

…

Purchase answer to see full

attachment

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.