Mathematics | VITEEE 2016 | Discussion Page

Processing math: 100%

The domain and range of the function f given by f(x)= 2-|x-5| is

A) Domain =

$R^{+}$ , range = (-

$\infty$ ,1]

B) Domain =R, Range =(-

$\infty$ ,2]

C) Domain =R , Range =(-

$\infty$ ,2]

D) Domain =

$R^{+}$ , Range = (-

$\infty$ ,2]

Option B

Given f(x)=2-|x-5|

Domain of f(x) is defined for all real values of x

since ,|x-5| $\geq 0\Rightarrow-|x-5|\leq0$

$\Rightarrow2-|x-5|\leq2\Rightarrow f(x)\leq 2$

Hence , range of f(x) is (- $\infty$ ,2]

Discussion Forum