Watson Howell
06/07/2023 · Middle School
Look at this set of ordered pairs \[ \begin{array}{l}(10,14) \\ (-9,0) \\ (12,1) \\ (14,0)\end{array} \] Is this relation a function? yes no
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Step-by-step Solution
To determine if the given set of ordered pairs represents a function, we need to check if each input (the first element of each pair) is associated with exactly one output (the second element of each pair).
The ordered pairs are:
1. (10, 14)
2. (-9, 0)
3. (12, 1)
4. (14, 0)
Now, let's look at the first elements (inputs):
- 10
- -9
- 12
- 14
All of these inputs are unique; none of them repeat. Since each input is associated with exactly one output, this relation is indeed a function.
So, the answer is **yes**, this relation is a function.
Quick Answer
This relation is a function.
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