Math

QuestionDetermine if the set of ordered pairs {(4,7),(5,7),(3,8),(2,8),(9,9)}\{(4,7),(5,7),(3,8),(2,8),(9,9)\} represents a function. Yes or No?

Studdy Solution

STEP 1

Assumptions1. A set of ordered pairs is considered a function if each input (x-value) is paired with exactly one output (y-value). . The set of ordered pairs given is {(4,7),(5,7),(3,8),(,8),(9,9)}\{(4,7),(5,7),(3,8),(,8),(9,9)\}.

STEP 2

We need to check if each input (x-value) is paired with exactly one output (y-value).

STEP 3

Checking the first ordered pair (,7)(,7), we see that the input $$ is paired with the output $7$.

STEP 4

Checking the second ordered pair (,7)(,7), we see that the input $$ is paired with the output $7$.

STEP 5

Checking the third ordered pair (3,8)(3,8), we see that the input 33 is paired with the output 88.

STEP 6

Checking the fourth ordered pair (2,8)(2,8), we see that the input 22 is paired with the output 88.

STEP 7

Checking the fifth ordered pair (9,9)(9,9), we see that the input 99 is paired with the output 99.

STEP 8

After checking all the ordered pairs, we see that each input is paired with exactly one output. Therefore, the set of ordered pairs is a function.
The answer is Yes, the set of ordered pairs is a function.

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