1) 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] Answer: Option BExplanation: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]
