Question

6.

Which of the following sets of ordered pairs are functions? Give reasons.
a {(1, 3), (2, 4), (3, 5), (4, 6)}
c {(2, -1), (2, 0), (2, 3), (2, 11)}
e {(0, 0), (1, 0), (3, 0), (5, 0)}
b {(1, 3), (3, 2), (1, 7), (−1, 4)}
d {(7, 6), (5, 6), (3, 6), (-4, 6)}
f {(0, 0), (0, -2), (0, 2), (0,4)}

Answer 1

The sets that represent functions are a {(1, 3), (2, 4), (3, 5), (4, 6)}, e {(0, 0), (1, 0), (3, 0), (5, 0)}, and d {(7, 6), (5, 6), (3, 6), (-4, 6)}.

Step-by-step explanation:

The sets of ordered pairs that represent functions are:

1. a {(1, 3), (2, 4), (3, 5), (4, 6)}
2. e {(0, 0), (1, 0), (3, 0), (5, 0)}
3. d {(7, 6), (5, 6), (3, 6), (-4, 6)}

In a function, each input value (x) must have only one unique output value (y). If there are multiple output values for the same input value, it is not a function.

In set b, the input value 1 has two different output values, so it is not a function. In set c and f, the input value 2 and 0 have multiple output values, respectively, so they are not functions either.

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