Find the domain and range of the real function f defined by f(x)=|x-1|

Asked by Bharath Mazumdar | 16th Nov, 2012, 11:58: PM

Expert Answer:

To find domain of the function let us first define the function

f(x) =|x-1|

              = x-1    for x >1

             = x-1    for x<1

In both the cases it is a linear function defined for x belongs to R.

So domain = R.

For x>1 as  this function is linear increasing so maximum value approaches to infinity and as modulus function is always greater than or equal to zero.so  range will be (0,?).

Answered by  | 18th Nov, 2012, 04:40: PM

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