Absolute value

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




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



 

HAVE A QUESTION? Chat With Our Tutoring Experts Now