Determine the absolute extrema of each function on the given interval. Illustrate your results by

Question

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

Answer 1

you don't need calculus for this. It can just confirm your answers. these are just ordinary parabolas. Find the vertex, and check the values at the ends of the intervals.