For the function f(x)= l x-5 l find the domain and the range . Write your answer in interval notation.
1 Answer
justaguide | College Teacher | (Level 2) Distinguished Educator
The function f(x)= `lx - 5l` . f(x) is the absolute value of (x - 5).
The domain of the function is the set of real numbers as x - 5 can take any real value and so can x. The absolute value of x - 5 is equal to x - 5 for x - 5 >= 0 and it is equal to -(x - 5) for x - 5 < 0. The value of f(x) is never negative.
The domain of f(x)= `lx - 5l` is R and the range is [0, inf.)