Find the maximum and the minimum values, if any, without using derivatives of the following functions:

Question

Find the maximum and the minimum values, if any, without using derivatives of the following functions: f(x) = |x + 2| on R

Philoid · Accepted Answer

|x + 2|≥0 for x ∈ R

= f(x) ≥ 0 for all x ∈ R

So the minimum value of f(x) is 0, which attains at x =2

Hence, f(x) = |x + 2| does not have the maximum value.