Exercises - Extrema of Functions

  1. Find all points of relative or absolute extrema for the following functions, as they exist

    1. $f\,(x) = 1 + \sqrt{4-x^2}$

    2. $f\,(x) = 3-x^2$

    3. $f\,(x) = x^{2/3}$

    4. $f\,(x) = 3 - |x+1|$