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2 years ago

8

Which of the following tables represents a function?

1 answer:

kirza4 [7]2 years ago

6 0

<h3>Answer: Choice B</h3>

Reason:

Choices A, C and D have repeated x values. It allows us to rule them out.

Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.

Whenever we have repeated x values, it indicates we do <u>not</u> have a function. A function is only possible when each x value goes to exactly one y value only.

Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.

Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, <u>table B</u> is a function.

Side Note: the y values can repeat, but the function won't be one-to-one.

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