Homework SourseConsider function fx x2 4x 4 a Find the absolute maximum
Consider function f(x) = x^2 - 4x + 4.
a) Find the absolute maximum and minimum of f(x) on [0,3].
b) Find the absolute maximum and minimum of f(x) on [-4, -1].
a) Find the absolute maximum and minimum of f(x) on [0,3].
b) Find the absolute maximum and minimum of f(x) on [-4, -1].
Solution
f\'=2x-4=0 x=2 at x=2 f=4-8+4=0 x=0 f=4 x=3 f=9-12+4=1 so in case a absolute maximum=4 minimum=0 in case b at -4 f=16+16+4=36 at -1 f=1+4+4=9 abs minimum=0 maximum=36![Consider function f(x) = x^2 - 4x + 4. a) Find the absolute maximum and minimum of f(x) on [0,3]. b) Find the absolute maximum and minimum of f(x) on [-4, -1].S](/WebImages/42/consider-function-fx-x2-4x-4-a-find-the-absolute-maximum-1129578-1761603144-0.webp "Consider function f(x) = x^2 - 4x + 4. a) Find the absolute maximum and minimum of f(x) on [0,3]. b) Find the absolute maximum and minimum of f(x) on [-4, -1].S")
