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oksian1 [2.3K]
3 years ago
9

Which of the following

Mathematics
2 answers:
Damm [24]3 years ago
4 0

<em>Answer:</em>

A: represents a function

<em>Explanation:</em>

Every other option, A,  has two y for one x.

It can be a function if there is 1x for 1y.

<em>If this was helpful, please mark brainliest. Have a beautiful day!</em>

UkoKoshka [18]3 years ago
4 0
<h3>Answer: Choice C (upper right corner)</h3>

Choice A is not a function because x = 2 leads to more than one y value (y = 1 and y = 7  at the same time)

Choice B is not a function for similar reasoning. Here we have x = 1 lead to y = 2 and y = 5 simultaneously.

Choice D is also not a function because of the two points (5,2) and (5,4). This tells us we have x =  5 lead to y = 2 and y = 4 at the same time.

A function is only possible if you have any input lead to exactly one output. Choice C shows this. Note how it passes the vertical line test. It is impossible to draw a vertical line through more than two points on the function curve.

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Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

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<u>Usi</u><u>ng</u><u> formula</u><u> for</u><u> </u><u>slope</u><u>,</u><u> </u><u>we</u><u> </u><u>get</u><u>;</u>

<u>m =  \frac{y2 - y1}{x2 - x1}</u>

<u>Pu</u><u>t</u><u> all</u><u> </u><u>v</u><u>alues</u><u>.</u>

<u>2 =  \frac{y - 2}{5 - 2}</u>

<u>Simpl</u><u>ify</u><u> </u><u>it</u><u> </u><u>to</u><u> </u><u>get</u><u> </u><u>valu</u><u>e</u><u> of</u><u>"</u><u>y</u><u>"</u><u>.</u>

<u>2 =  \frac{y - 2}{3}</u>

<u>6 = y - 2</u>

<u>y = 6 + 2</u>

<u>Therefore</u><u>,</u><u> </u><u>y</u><u>=</u><u> </u><u>8</u><u>.</u>

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