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Which of the sets of ordered pairs represents a function? (1 point)

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

User Mimosinnet
by
8.0k points

1 Answer

1 vote

Answer:

Conclusion:

Both sets represent the function.

Explanation:

  • We know that a function relates an input to an output.

For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function

h (age) = age × 10

Thus, if the age of the plant is 2 years, the height is:

h(10) = 2 × 10 = 20 cm

Set P

P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are 6, 3, -9, and -5.

Thus, there are no duplicated inputs or x-values.

  • Therefore, the set P of ordered pairs represents a function.

Set Q

Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}

The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.

The x-values are -7, 4, -3, and 1.

Thus, there are no duplicated inputs or x-values.

  • Therefore, the set Q of ordered pairs also represents a function.

Conclusion:

Both sets represent the function.

User Hackoo
by
8.5k points
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