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

Question 1

Question 2

Given as f(x) = |x + 2| ≥ 0 for x ∈ R

= f(x) ≥ 0 for all x ∈ R

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

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

kratos · Answer 1 · 2021-01-17T12:30:42+0000

Given as f(x) = |x + 2| ≥ 0 for x ∈ R

= f(x) ≥ 0 for all x ∈ R

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

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

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