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