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is defined as follows:

F (x) = | x | = x when x > 0

F (x) = | x | = 0 when x = 0

F (x) = | x | = - x when x < 0

We know that for any real number x, either x > 0 or, x = 0 or, x < 0.

Therefore, from the definition of | x | given as above, it readily follows that the value of | x | can never be

negative.

If x = - 3 then | x | = | - 3 | = - (- 3) = 3 [since | x | = - x when x < 0]

F (x) = | x – 1| at x = 0 and x = 2.

At x = 0 f (0) = | 0 – 1| = | - 1| = 1

At x = 2 f ( 2) = | 2 – 1| = | 1 | = 1