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
