# Math 1P97. Assignment 1 -Find the domains and ranges of the following functions

Math 1P97. Assignment 1 (4%).Student’s name:Total mark:NOTE: Students are expected to complete ALL questions on the assignment. However, only a subset ofquestions will be considered for marking. Marks will be deducted for incomplete assignments. Show allyour work.1. Find the domains and ranges of the following functions:a) f (x) =| 1 − x2 | +1b) f (x) =√9 − x2c) f (x) = 24−x2<4 marks> Find the rules for the composite functions (g ◦ f )(x) and (f ◦ g)(x)2.a)If f (x) = 5x and g(x) = cos 2x,b)If f (x) = 4 − 4x + x2 and g(x) =c)If f (x) =√x2,x−4×2 + 1 and g(x) = ln x,3. An office building worth \$16, 172, 800 million when completed in 1990 was depreciated linearly over50 years to \$10, 000, 000.a) Express the book value of the building V (n) as a function of year starting from 1990: n =0, V (0) = 16, 172, 800 and sketch a graph.b) What were the book values of the building in 2010 and 2015?c) Find the rate at which the building is being depreciated each year.4. Find the indicated limits, if they exist.a)ex (x − 2)=x→1 x2 − x − 6lim2x2 − 7x + 3b) lim 2=x→3 x − x − 6c)d)e)1 − cos 5x=x→0 1 − cos 3xlimlim x2 + 1 x2x→∞x2=ln(1 − 3x)=x→0xlim5. Use the graph of the given function f to determine lim f (x) or lim f (x) and lim f (x) at thex→ax→a+x→a−following values of a:a) a = −∞ :lim f (x) =x→−∞b) a = −8c) a = −4d) a = −2e) a = 2f) a = 6g) a = ∞.6. Let f =4 − x2 ,x3 − 2×2 + a,if x ≤ 2Find the value of a that will make f continuous on (−∞, ∞).if x > 27. (Commissions, problem 68) The base monthly salary of a salesman working on commission is \$22, 000.For each \$50, 000 of sales beyond \$100, 000, he is paid a \$1000 commission.a) Sketch a graph y = f (x) showing his earnings y as a function of the level of his sales x (inthousands).b) Determine the values of x for which the function f is discontinuous and find their one-sidedlimits.8. (Energy expended by a fish, problem 72) Suppose a fish swimming a distance of L ft at a speed ofυ ft/sec relative to the water and against a current flowing at the rate of u ft/sec (u < υ) expendsa total energy given byaLυ 3,E(υ) =υ−uwhere E is measured in foot-pounds (ft-lb) and a is a constant.a)Evaluate lim E(υ) and interpret your result.b)Evaluate lim E(υ) and interpret your result.υ→u+υ→∞

Calculate the price
Pages (550 words)
\$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with Essay Fountain
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Marketing
Thank you so much!
Customer 453015, December 13th, 2021
Sociology
Customer 452919, December 1st, 2021
Sociology
I have never experienced receiving a paper past the due date and time. That is the only thing that displeases. I don't have time o Overall, your team does a great job.
Customer 452919, November 18th, 2021
Ethics
I Thank the entire team.
Customer 452919, January 25th, 2022
English 3311- Professional Writing
Thank you, it looks good!
Customer 452919, January 28th, 2023
Nursing
The second attempt was an unplagiarized paper. Thank you
Customer 452545, September 25th, 2020
Sociology
I eant to thank the enttir team. A special thanks to Simon!
Customer 452919, November 2nd, 2021
Excellent service as always, Thank you!
Customer 452995, January 20th, 2022
Economics
Satisfactory
Customer 452963, November 11th, 2021
Humanities
Best Serivces
Customer 452995, January 24th, 2022
Health Care
Thank you for getting this paper done in a timely manner
Customer 452641, February 20th, 2021
Sociology
Thanks to the entire Team of Solutions.
Customer 452919, March 29th, 2022
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend