Determine the absolute extrema of each function on the given interval. Illustrate your results by
sketching the graph of each function.
a) f(x)���� = ��x^2 − 4x� + 3 , 0 ≤ x� ≤ 3
b) ����f(x) = ��(x − 1)^2�� , 0 ≤ x� ≤ 2
I will do the first, you do the 2nd
a) y = x^2 - 4x + 3
dy/dx = 2x - 4 = 0 for max/min
2x=4
x = 2
if x=2, y = 4 - 16 + 3 = -9
if x = 0, y = 3
if x = 3 , y = 9 - 12+3 = 0
the min is -9 and the max is 3