Consider the quadratic function defined on the interval .
MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Consider the quadratic function f(x)=x2−4x+7 defined on the interval [−1,5].
(i) Rewrite f(x) in its vertex form.
(ii) Find the minimum and maximum values of f(x) on [−1,5].
(iii) Hence determine the range of f on the interval [−1,5].