Question

The given fig represents which of the given Equations?

• A. $y=|x+2|+|x+3|$
• B. $y=|x+2|+|x-3|$
• C. $y=|x-2|+|x-3|$
• D. $y=|x-2|+|x+3|$

Answer 1

The correct option is C $y=|x-2|+|x-3|$

$y=|x-2|+|x-3|$

$f\left(0\right)=|0-2|+|0-3|=|-2|+|-3|=2+3=5$

$f\left(4\right)=|4-2|+|4-3|=2+1=3$

$f\left(3\right)=|3-2|+|3-3|=1+0=1$

Only this equation will satify all the given point in a graph.

Option A does not satisfy the condition $f\left(4\right)=3$

$f\left(4\right)=13\ne 3$

Option B does not satisfy the condition $f\left(4\right)=3$

$f\left(4\right)=7\ne 3$

Option D does not satisfy the condition $f\left(4\right)=3$

$f\left(4\right)=9\ne 3$