Is |y+x|= 9 a function? why or why not
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Is |y+x|= 9 a function? why or why not

[From: ] [author: ] [Date: 12-06-06] [Hit: ]
19) are both points on this curve, its not a function.......
s |y+x|= 9 a function? why or why not? I'm not sure I was guessing it wasnt due to the absolute but I am unsure .thank

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It's not a function, and you're right, it's because of the absolute value.

A function must have a unique y-value for every x-value. That's why sqrt(x) is a function and x^(1/2) is not.

Imagine that x = -10. Then if y = 1, |y + x| = |-9| = 9
However, if y = 19, then |y + x| = |9| = 9

So since (-10,1) and (-10,19) are both points on this curve, it's not a function.
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