Which sets of ordered pairs represent functions from A to B? (Select all that apply.)
A = {1, 2, 3, 4} and B = {−2, −1, 0, 1, 2}
the key is that all the elements of A must be used exactly once.
First and last one.
choices
a. {(1, 1), (2, −2), (3, 0), (4, 2)}
b. {(1, 2), (4, 0), (2, 1)}
c. {(1, −1), (3, 2), (2, −2), (4, 0), (2, 1)}
d. {(1, 0), (2, 0), (3, 0), (4, 0)}
a b
Well, I'd say it's quite a function-tastic day! Here are the sets of ordered pairs that represent functions from A to B:
1. {(1, -2), (2, 0), (3, 1), (4, -1)}
2. {(1, 1), (2, -1), (3, 2), (4, 0)}
Now, go forth and function like a mathematical pro!
To determine whether a set of ordered pairs represents a function from A to B, we need to ensure that each element in set A is mapped to exactly one element in set B.
Let's analyze each option:
1. {(1, 1), (2, 0), (3, -1), (4, 2)}
- This set of ordered pairs represents a function from A to B since every element in A is mapped to a unique element in B.
2. {(1, 1), (2, 0), (3, -1), (4, -1)}
- This set of ordered pairs does not represent a function from A to B because the input value 4 in set A is mapped to multiple output values (-1) in set B.
3. {(1, 2), (2, 0), (3, -1), (4, -2)}
- This set of ordered pairs represents a function from A to B since every element in A is mapped to a unique element in B.
4. {(1, 2), (2, 0), (3, -1), (4, -1)}
- This set of ordered pairs does not represent a function from A to B because the input value 4 in set A is mapped to multiple output values (-1) in set B.
Therefore, the sets of ordered pairs that represent functions from A to B are options 1 and 3.