SOLUTION: X and Y are integers. Find the domain of the relation and draw it's graph. Is the relation a function?
{(x,y): |x|=|y| and |y|≤ 2}
Please Please help me.I'm begging.
Thank
Algebra.Com
Question 267977: X and Y are integers. Find the domain of the relation and draw it's graph. Is the relation a function?
{(x,y): |x|=|y| and |y|≤ 2}
Please Please help me.I'm begging.
Thank You!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Because and , this means that as well. Why? Well say (a value greater than 2), then which would mean that also. But this is a clear violation of the statement .
Since , this means that the only allowable "input" are values of that satisfy the inequality since this is basically the conditions imposed on 'x'. Solve this inequality to get
So the domain is which in interval notation is
Now take and solve for 'y' to get or . These equations are simply lines.
Now draw a vertical line through any random point on the circle. Does this line cut through more than one point? Barring one exception, the answer will be 'yes'. Since this is the case, the relation fails the vertical line test which means that this relation is NOT a function.
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