A classmate states that if s = {(3, 1), (2, 1), (4, 3), (5, 4)}, then the inverse of s = {(1, 3), (2, 1), (3, 4), (4, 5)} and is also a function. Which is the classmate's error? A. The classmate correctly identified the inverse of s but it is not a function. B. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong but it is still a function. C. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong and it is not a function. D. The classmate should not have reversed any of the coordinates, but the inverse of s is still a function.

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15-09-2020
Mathematics

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A classmate states that if s = {(3, 1), (2, 1), (4, 3), (5, 4)}, then the inverse of s = {(1, 3), (2, 1), (3, 4), (4, 5)} and is also a function. Which is the classmate's error? A. The classmate correctly identified the inverse of s but it is not a function. B. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong but it is still a function. C. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong and it is not a function. D. The classmate should not have reversed any of the coordinates, but the inverse of s is still a function.

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jimthompson5910 jimthompson5910 · Answer 1 · 2020-09-15T18:04:08+02:00

Answer: C. The classmate did not reverse the coordinates of (2, 1), so the inverse of s is wrong and it is not a function

The first two points in relation s are (3,1) and (2,1). Their coordinates swap to get (1,3) and (1,2) respectively which helps form the inverse relation.

We don't have a function with { (1,3), (1,2) } because the x coordinate repeats itself. Functions are only possible if any input x leads to exactly one output y.