Science:Math Exam Resources/Courses/MATH100/December 2011/Question 01 (l)/Statement

Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, it is not necessary to simplify your answers in this question.

If ƒ(-1) = 9 and ƒ'(x) ≥ 3 for -1 ≤ x ≤ 2, how small can ƒ(2) possibly be?