VITEEE 2016 Paper

Given f(x) = 2 - |x - 5|
Domain of f (x) is defined for all real values of x.
Since, |x-5| ≥ 0 ⇒ - |x - 5| ≤ 0
⇒ 2 - |x - 5| ≤ 2
⇒ f(x) ≤ 2 Hence, range of f(x) is (- ∞, 2].