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3 years ago

14

Which graph represents a function?

1 answer:

natulia [17]3 years ago

6 0

You'd want to use a vertical line test.

1st image: Every vertical line cuts the graph at at most one point
2nd image: The vertical line x = 1 cuts the graph at more than one point
3rd image: The vertical line x = 1 cuts the graph at 2 points
4th image: The vertical line x = -2 cuts the graph at 2 points

Hence, graph 1 (1st image) is a function.

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Step-by-step explanation by elimination:

Solve the following system:

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Multiply equation 2 by -1:

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Multiply equation 3 by -1:

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0 x+5 y + 6 z = 5 | (equation 2)

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Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y+0 z = 5 | (equation 2)

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Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

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Collect results:

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