Mathematics - Functions Question with Solution | TestHub

$f(x)=|x-2|+|x-5|$ and domain $\mathrm{f}=\mathrm{R}$

For $\mathrm{x}<2,f(x)=2-x+5-x=7-2x>3$;

For $2<\mathrm{x}<5,f(x)=x-2+5-x=3$;

For $\mathrm{x}>5,f(x)=x-2+x-5=2x-7>3$;

Range $f=[3,\infty )$