Please help me with the following questions by explaining each. The answers has been identified.

Explanatio 16 Required information 3.12/3.12 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. points awarded Let A = [a, b, c], B = {x, y]. and C = [0, 1). Scored Identify A x B x C. eBook Multiple Choice Hint Print O [(0, x, a). (0, x, b). (0. x. G). (0. y. a). (0. y. b). (0. y. C. (1. x. a). (, x b). (1, x. c). (1. y. a). (1, y. b). (1. y. c) References (10. a. x). (0, a. n. (0, b. x). (0, b. y. (0. . x). (0. c. M. (1, a. M). (1, a. M. (1. b. A. (1. . M. (1. C. X. ( CM) [(a, x. 0). (a, x, 1). (a. y. 0), (a. y. 1). (b. x. O). (b. x. 1). (b. y. O). (b. y. 1). (c. x. O). (c. x. 1). (c. y. O). (c. y. 1)] O [(a, x, y), (a. x, 1). (a. y. x). (a. y. 1). (b. x. M. (b. x. 1). (b. y. x). (b. y. 1). (c. x. ). (c. x. 1). (c. y. x). (c. y. 1)]17 O Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider a set A. 0/3.12 points awarded Scored If A.= [a], then AS = {(a, a, a)]. eBook True or False Hint True False Print References Explanation Recall that A consists of all the ordered triples (x, y. z) of the elements of A and AS = Ax Ax A Thus, AS = [(a, a, a)]. Therefore, the given statement is true.Review for Test 1 Submitted 24.44/100 Total points awarded Help Exit Explanation 18 Let A be the set of students who live within one mile of school and let B be the set of students who walk to classes. Describe the students in each of these sets. Part 1 of 3 AUB 0/3.12 points awarded Multiple Choice Scored The set of students who live within one mile of school and walk to class Book Hint O The set of students who live within one mile of school and the set of students who walk to class Print O The set of students who live within one mile of school References O The set of students who walk to class The set of students who either live within one mile of school or walk to class 18 19 20 of 32 Next >Explanation 19 Required information Part 2 of 3 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Let A be the set of students who live within one mile of school and let 8 be the set of students who walk to classes. Describe the students in each of these sets. 3.12/312 points awarded B-A Scored Multiple Choice eBook Hint The set of students who live within one mile of school and the set of students who walk to class Print O The set of students who walk to classes except for the set of students who live more than one mile of school. References O The set of students who live within one mile of school but do not walk to class The set of students who live more than a mile from school but nevertheless walk to class McRequired information Part 3 of 3 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Let A be the set of students who live within one mile of school and let B be the set of students who walk to classes. Describe the students in each of these sets. 0/3.12 points awarded AnB Scored Multiple Choice eBook Hint The set of students who live within one mile of school Print The set of students who live within one mile of school and walk to class References O O The set of students who live within one mile of school and the set of students who walk to class O The set of students who walk to classExplanation 21 Required information 0/3.12 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. points awarded Let A = [0, 2, 4, 6, 8, 10]. B= [0, 1, 2, 3, 4. 5. 6], and C=(4, 5, 6, 7, 8, 9, 10]. Find the value of given function. Scored ( AU B)nc eBook Multiple Choice Hint Print O [2, 4, 6] References O [4. 5, 6, 8, 10] (0. 2, 4, 5, 6, 7, 8, 9, 10) (4. 6]Explanat 22 Find the symmetric difference of (1, 3. 5] and [1, 2, 3]. 0/3.12 points awarded Multiple Choice Scored (2, 5) eBook X Hint (1, 3, 5, 9) Print O (2] References O (5] [1, 3)Exit 23 Explanation Identify the correct statements for the given functions from the set (a, b, c, d) to itself. (Check all that apply.) 1.04/3.12 points awarded Check All That Apply Scored (a) = b. (b) = a, (c) = c, (d) = d'is a one-to-one function, as each element is an image of exactly one element eBook Hint (a) = b, (b) = a, (c) = c, (d) = dis not a one-to-one function, as a is mapped to band bis mapped to a. Print (a) = b. (b) = b. (c) = d. (d) = cis a one-to-one function, as each element is mapped to only one element References (a) = b. (b) = b. (c) = d. (d) = c is not a one-to-one function, as b is an image of more than one element (a) = d. (b) = b. (c) = c. ((a) = dis a one-to-one function, as each element is mapped to only one element. [ (a) = d, Ab)= b. (c) = c. (d) = dis not a one-to-one function, as dis an image of more than one element Mc Graw24 Explanation Which of the following functions from Z to Z are one-to-one? (Check all that apply.) 0/3.12 points awarded Check All That Apply Scored An) = 1 -1 eBook Hint An) = n2 +1 Print (n) = n3 References (n) = 131 Explanation f(n) = n - 1 is one-to-one, since if n1 - 1 = n2 1, then nj - n2Exit Explanation 25 Consider the function f. R - R with (x) = ax + b. where a and b are constants with a # 0. Find the inverse of the given function. 0/312 points awarded Scored Multiple Choice Book f 1 (z) = : Hint Print O f (I) = References 0 1 ( 2 ) =26 Explanation Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Let fbe a function from the set A to the set B. Let S be a subset of B. We define the inverse image of S to be the subset of 0/312 A whose elements are precisely all pre-images of all elements of S. We denote the inverse image of Sby f (S), so points awarded f (S) = [aE Al fla) E S]. Let fbe the function from R to R defined by ((x) = x-. Find the value of given functions. Scored f ({1}) eBook Hint Multiple Choice Print f ' ((1} ) = [) References Of ((1}) = 1-1.1 rom=(x Of * ((1)) =40 26 37 Next >Explanation 27 0 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0/3.12 points awarded Find these terms of the sequence (an), where an = 2(-3)07+ 57. Scored a0 eBook Multiple Choice Hint Print O o References O 3 X 1 O 5Explanation 28 0 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0/3.12 A person deposits $1,000 in an account that yields 9% interest compounded annually. points awarded Scored Set up a recurrence relation for the amount in the account at the end of n years. eBook Multiple Choice Hint an= an - 1+ 0.09 Print References an= 0.09an - 1 O an = 1.09an -1 O an= an -1+1.09Explanation 29 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. For each of these lists of integers, find a simple formula or rule that generates the terms of an integer sequence that 3.12/3.12 begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence. points awarded Scored 2. 4, 16. ... Book Multiple Choice Hint O The next three terms are 256, 4096, 65536 Print References O The next three terms are 64, 2048, 262144. O The next three terms are 64, 256, 1024. The next three terms are 256, 65536, 4294967296.Explanation 30 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0/3.12 What are the values of these sums? points awarded Scored ER-1 (k + 1) =_ eBook Multiple Choice Hint 25 Print References O 30 O 20 O 15Explan 31 Required information 0/3.12 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. points awarded Find the value of each of the sums. Scored 23-o (27+ 1 - 2') =_ eBook Multiple Choice Hint Print O 511 References O 500 411 576Show my answers 32 Required information 0/3.28 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. points awarded The product of am, am + 1.....an is represented by " ,, a; , read as the product from j = m to j= n of a; Scored Identify the values of the given product. eBook Hint Numeric Response Print 5040 References Explanation The numbers that included in the product for each value of / are 7, 8, 9. and 10. Thus, the product is 7 . 8 . 9 . 10