Question

find domain and range of function f defined by f(x) =|x-1|​

Answer 1

Answer:

{ R } ; [ 0 , ∞ )

Step-by-step explanation:

The given function can be defined for all x( ∈ R ) as | x - 1 | will always give a real number for all real x(s).

 Hence domain is { R }

This function will have a positive value in all the cases, hence it can't be - ve.

Therefore range varies from 0 to ∞.

 Range is [ 0 , ∞ )

Answer 2

f(x)= -(x-1).......if x<0

+(x-1).......if x>=0

so f(x) is defined for all x domain is all real numbers( set R)

for range