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|x|, the absolute value of x, is defined as follows: |x| = x if x ≥ 0 |x| = -x if x < 0 The characteristics are: |x| ≥ 0 |x| = 0 => x = 0 For any two numbers x and y, |x*y| = |x|*|y| |x+y| ≤ |x|+|y|
You look for the value of 0 in the y column, and find out what x has to be for y=0. This value of x is you x-axis intercept. (Reverse "x" and "y" in the above description to find the y-intercept, if there is one).
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For finding the absolute values, if x ≥ 0 then |x| = x if x < 0 then |x| = -x so that |x| is always ≥ 0 |x| + |y| ≥ |x + y| |x| * |y| = |x*y|
If x and y are additive opposites, then y = -x.If x >= 0 then abs(x) = xalso y 0 so that abs(y) = y.