question_answer

Directions: (1 - 5)

A potter made a mud vessel, where the shape of the pot is based on \[f\left( x \right)=\left| x-3 \right|+\left| x-2 \right|\], where \[f\left( x \right)\]represents the height of the pot.

When \[x\text{ }>\text{ }4\] What will be the height in terms of x ?

A) x - 2

B) x - 3

C) 2x - 5

D) 5 - 2x

Correct Answer: C

Solution :

\[f\left( x \right)=\left| x-3 \right|+\left| x-2 \right|=x-3+x-2\] \[\left[ \because \,\,x>4 \right]\]