MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ Directions: Read all directions completely and carefully. Show work for all problems. Failure to do so for those that clearly require work will result in a loss of credit. 1. In the space below, form two polynomial functions whose real zeroes and degree are given. a. Zeroes: -1, 1, 3; degree 3 b. Zeroes: -1, multiplicity 1; 3, multiplicity 2; degree 3 2. For the given polynomial function: � � = −2 � + 2 � + 2 ! Using page 343 in your book, analyze the given polynomial function using all eight steps given. You must show all necessary work. MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 3. Use the Remainder Theorem to find the remainder when �(�) is divided by � − �. Then use the use the Factor Theorem to determine whether � − � is a factor of �(�). Show all work. � � = �! − 16�! + �! − 16; � + 4 4. Find the real zeros of the given function. Use the real zeroes to factor the function. � � = 3�! − 7�! + 12� − 28 5. Find the complex zeroes of the polynomial function. Write the function in factored form. � � = �! + 13�! + 36 MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 6. Find the domain of the rational function. Show all work! � � = − � 1 − � 3�! + 5� − 2 7. Find any and all asymptotes for the following function: (Show all work!) � � = �! − 8 �! − 5� + 6 MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 8. Analyze and show all 7 steps from page 384, for the following function: (Show all work!) � � = �! + � − 12 �! − � − 6 9. Solve the following inequality using algebra: (Show all work!) �! + 2� − 3� ≥ 0 MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 10. For the following functions: � � = −2� ��� � � = 3�! + 1 Find � ∘ � 4 , � ∘ � 2 , � ∘ � 1 , ��� � ∘ � (0). Show all work! 11. The following function is one-to-one: � � = 3� + 4 2� − 3 Find its inverse function; verify your work, the domain and range of each function and its inverse. Show all work! MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 12. Solve the equation. (Show all work!) (�!)! ⋅ �!! = �!" 13. Using the space below, for the following function: (Show all work!) � � = 1 2 log(2�) a. Find the domain. b. Graph the function. c. From the graph, determine the range and any asymptotes of the function. d. Find the inverse of the function. e. Find the domain and range of the inverse. f. Graph the inverse. MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 14. Suppose that April has access to an investment that will pay 10% interest compounded continuously. Which is better: to be given $1000 now so that she can take advantage of this investment opportunity or to be given $1325 after 3 years? 15. The size � of a certain insect population at time � (in days) obeys the model: � � = 500�!.!"! . (Show all work!) a. Determine the number of insects at � = 0 days. b. What is growth rate of the insect population? c. Graph the function using your graphing calculator. d. What is the population after 10 days? e. When will the insect population reach 800? f. When will the insect population double? MAT 160 College Algebra Unit III Take – Home Exam (Chapters 5, 6 & 12 ) Name: _____________________________ Date: ______________________________ 16. Solve the following system: (Show all work!) � − 2� + 3� = 7 2� + � + � = 4 −3� + 2� − 2� = −10 17. Solve the following equation: (Show all work!) 4�!!! = 5

AccountingQueen

(3)

Status NEW Posted 20 Aug 2017 08:08 AM My Price 10.00

Hel-----------lo -----------Sir-----------/Ma-----------dam----------- T-----------han-----------k y-----------ou -----------for----------- us-----------ing----------- ou-----------r w-----------ebs-----------ite----------- an-----------d a-----------cqu-----------isi-----------tio-----------n o-----------f m-----------y p-----------ost-----------ed -----------sol-----------uti-----------on.----------- Pl-----------eas-----------e p-----------ing----------- me----------- on----------- ch-----------at -----------I a-----------m o-----------nli-----------ne -----------or -----------inb-----------ox -----------me -----------a m-----------ess-----------age----------- I -----------wil-----------l

Not Rated(0)

• Buy Answer