For the function f(x)= l x-5 l find the domain and the range . Write your answer in interval notation.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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.)

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial