Algebra Help - Absolute Value

Algebra Help - Absolute Value Absolute value is the numerical value irrespective of the sign. If we consider a number line, it is the distance on a number line without considering the direction. Absolute value of -2 is 2. NOTE: An absolute value function is differentiable everywhere except at 0 In the interval (-,0] the absolute value function is monotonically decreasing where as in the interval [0, ) it is monotonically increasing. It is an even function because a positive and negative number has the same absolute value. Example: abs (-4) or | -4| is 4 1) abs(29) is (a) 29(b) -29(c) 0(d) undefined Answer: a 2) |6 9| and |9 6| (a) 3 and -3 (b) -3 and 3(c) -3 and -3(d) 3 and 3 Answer: d 3) |-3 x 7| and - |-12| (a) 21 and 12(b) -21 and -12 (c) -12 and 12(d) 21 and -12 Answer: d 4) abs(0) (a) Neither negative nor positive(b) 0 (c) Undefined(d) Either positive or negative Answer: b 5) Place the correct inequality |- 9|---------- |-12| (a) (b) =(c) (d) = Answer: c