12. a. Suppose a function F: X→Y is one-to-one but notonto. Is F-1 (the inverse relation for F) a functionExplain your answer.-b. Suppose a function F: X Y is onto but not one-to-one. Is F-1 (the inverse relation for F) a functionExplain your answer.

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Answered: 12. a. Suppose a function F: X→ Y is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Which of the following relation is a function? a) S = {(-1,-2), (-3,4), (3,1), (-5,6)} b) T = {(-2,3), (-1,5), (–2,–3), (1,7)} c) Both (a) and (b) d) Neither (a) nor (b) a O b
I need help with my subject. Please. No plagiarisms, too. Thank you!
7. The following table gives Tinas height above the ground while riding a A Ferris wheel, in relation to the time she was riding it. Time (s) 20 40 60 80 100 120 140 160 180 200 220 240 Height (m) 5 10 10 10 a) Draw a graph of the relation, using time as the independent variable and height as the dependent variable. b) What is the domain? c) What is the range? d) Is this relation a function? Justify your answer. e) Another student sketched a graph, but used height as the independent variable. What does this graph look like? f) Is the relation in part e) a function? Justify your answer.
1. Which of the following statements is true? Explain your choice. (A) All functions are relations. (B) All relations are functions.
How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to implication the first one however I don’t understand it so please help me. Thank you.
[9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3), (с, 1), (а, 2)}. Find F(b). а. b. Write the domain and co-domain of F. с. Draw an arrow diagram for F.
Determine the domain and range of the relation shown to the right. If the relation is not a function, explain why. The domain is and the range is (Use a comma to separate answers as needed.) Is the given relation a function? If not, explain why. OA. No, the given relation is not a function because each element of the domain has a unique corresponding element of the range. OB. No, the given relation is not a function because each element of the domain does not have a unique corresponding element of the range. OC. Yes, the given relation is a function. 00 6
| Let A = {3, 4, 5}, and B = {−5, -3, -2, -1}. Define a relation R from A to B as follows: For all (x, y) = A × B, (x, y) = R means that x = 1 - y. (a) Write R as a list of ordered pairs. (b) Draw an arrow diagram for R. (c) Is R a function? Justify your answer.
How do you show the image of the union of S and T is equal to the union of the image of S and the image of T if f is a function from A to B and S And T are subsets of A?
4. す e McGraw-Hill Connect Math www-awu.connectmath.com/alekscgi/x/Isl.exe/1o_u-lgNslkr7j8P3jH-IQUdXJcbUh5AL... (E Determine if the relation defines y as a one-to-one function of x. 4- 3- 2- 1- O The relation does not define y as a one-to-one function of x. O The relation defines y as a one-to-one function of x. O2022 McGrav Type here to search 在。
4. How do you graph the inverse of a relation using the graph of the relation? Be sure to include the graph of the original and the graph of the inverse. Clearly indicate both.
Let f be the invertible linear transformation represented by the matrix -2 ^-(-²¹) A = 1). 4 4 Find, in terms of and y, the equation of the image f(C) of the unit circle C. The equation is

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12. a. Suppose a function F: X→ Y is one-to-one but not onto. Is F-1 (the inverse relation for F) a function Explain your answer. b. Suppose a function F: X Y is onto but not one-to- one. Is F-1 (the inverse relation for F) a function Explain your answer.