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dybincka [34]
3 years ago
12

Ту

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0

Answer:

We need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-3           2

-3           3

1             4

1            -4

2           -2

2            -4

It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.

In other words, there are 3 duplicated pairs.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Thus, we need to remove 3 points from 3 duplicated pairs so this graph  so that it will be a function.

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B.y = 4x + 2<br> y = -8x + 8
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y = 4x + 2 \\  =  > y - 2 = 4x \\  =  > x =  \frac{y - 2}{4}

y =  - 8x + 8 \\  =  > y =  - 8( \frac{y - 2}{4} ) + 8 \\  =  > y =  \frac{ - 8y  + 16}{4}  + 8 \\  =  > y =  \frac{ - 8y + 16 + 32}{4}  \\  =  > y =  \frac{ - 8y + 48}{4}  \\  =  > 4y =  - 8y + 48 \\  =  > 4y + 8y = 48 \\  =  > 12y = 48 \\  =  > y = 4

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<u>Answer:</u>

x =  \frac{1}{2}  \\ y = 4

Hope you could understand.

If you have any query, feel free to ask.

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