Which relation is a function? A. | $x$ | $y$ | | --- | --- | | 4 | - 2 | | 5 | - 3 | | 6 | - 2 | | 7 | - 3 | B. | $x$ | $y$ | | --- | --- | | 3 | 10 | | 2 | 20 | | 3 | 30 | | 4 | 40 | C. | $x$ | $y$ | | --- | --- | | - 5 | 2 | | - 5 | 3 | | - 10 | 4 | | - 10 | 5 | D. | $x$ | $y$ | | --- | --- | | 10 | 15 | | 20 | 25 | | 8 | 30 | | 20 | 35 |
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Answer

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Step 1
: Identify the relations that are functions by checking if each x-value corresponds to only one y-value.

Step 2
: Analyzing option A, we see that x = 4, 5, 6, and 7 correspond to y = - 2, - 3, - 2, and - 3, respectively.

Since the x-value 4 corresponds to y = - 2 and - 3, this relation is not a function. We can eliminate option A.

Final Answer

The relation in option B is a function.