Question

Given A = {0, 1, 2} and B = {-1,1, 2, 3), how many of the following represents a function from A to B? {(0, 2), (1, 2), (-2, 2)} {(1, 1), (0, 2), (2,3)} {(0, 1), (1, 2), (2, -1)}{(0, 1), (1, 2)) (A) 1 (B) 2 (C)3 (D) 4​

Answer 1

To determine how many of the given sets represent a function from set A to set B, we need to check if each input value in set A has a unique output value in set B. After examining the sets, we find that 3 sets represent a function from A to B.

Step-by-step explanation:

To determine how many of the given sets represent a function from set A to set B, we need to check if each input value (x) in set A has a unique output value (y) in set B.

A function is considered to be a mapping from A to B if for each element in A, there exists exactly one element in B that maps to it.

Let's go through each of the given sets:

1. The set {(0, 2), (1, 2), (-2, 2)} does not represent a function since 2 is repeated as the output value for different input values.
2. The set {(1, 1), (0, 2), (2, 3)} represents a function since each input value has a unique output value.
3. The set {(0, 1), (1, 2), (2, -1)} represents a function since each input value has a unique output value.
4. The set {(0, 1), (1, 2)} represents a function since each input value has a unique output value.

Therefore, 3 sets out of the given options represent a function from A to B.