0

Guest

Courses New
  • Forum
  • Algebra
  • The minimum value of [ x – 1] + [x – 2] +[x...

The minimum value of [ x – 1] + [x – 2] +[x – 3] where [ ] represents modulus function is

The minimum value of [ x – 1] + [x – 2] +[x – 3] where     [  ]  represents modulus function is

Grade:11

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans: 2
f(x)= |x-1|+|x-2|+|x-3|
f(x)= 6-3x, x< 1
= 4-x, 1\leq x< 2
=x, 2\leq x< 3
=3x-6, x\geq 3
So when you plot the graph of f(x) now, you would see that the minimum value of f(x) lies atx = 2
f(2) = 2
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More