Question 209702: Determine whetherthe equation represents y as a function of x.
|y|=4-x
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Function can be defined as an expression that has exactly one output for every input,, or passes the vertical line test.
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for [y] = 4-x,,,a T box might look like
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input(x),,,,output(y)
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0,,,,,,,,,,,+/- 4
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2,,,,,,,,,,,+/- 2
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4,,,,,,,,,,,+/- 0
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-4,,,,,,,,,,+/- 8
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We find more than one output possible for single input,,,,therefore not a function.
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A quick sketch of the above data, shows that it also fails the vertical line test, therefore not a function.
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