Select the sets that are not functions. choose all that apply.  a = {(1, 2), (2, 3), (3, 4), (4, 5)} b = {(1, 2), (2, 1), (3, 0), (4, -1)} c = {(-1, 3), (0, 3), (1, 3), (2, 3)} d = {(1, 1), (1, 2), (1, 3), (1, 4)} e = {(6, 2), (7, 3), (6, -1), (5, 4)}

Answer with Step-by-step explanation:

A function is a map from a set A to another set B such that

the image of any point in a has a unique image in set B.

A = {(1, 2), (2, 3), (3, 4), (4, 5)}

It is a function since image of 1,2,3 and 4 is unique.

B = {(1, 2), (2, 1), (3, 0), (4, -1)}

It is  a function since image of 1,2,3 and 4 is unique.

C = {(-1, 3), (0, 3), (1, 3), (2, 3)}

It is  a function since image of -1,0,1 and 2 is unique.

D = {(1, 1), (1, 2), (1, 3), (1, 4)}

It is  not a function since image of 1 is not unique.

E = {(6, 2), (7, 3), (6, -1), (5, 4)}

It is  not a function since image of 6 is not unique.

Hence, sets that are not functions are:

D = {(1, 1), (1, 2), (1, 3), (1, 4)}

E = {(6, 2), (7, 3), (6, -1), (5, 4)}

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.