AP Calculus AB 2015 Question 5 and Answers

Related Topics:
More videos, activities and worksheets that are suitable for Calculus



Questions and Worked Solutions for AP Calculus AB 2015.

AP Calculus AB 2015 Free Response Questions - Complete Paper (pdf)

AP Calculus AB 2015 Free Response Question 5

5. The figure above shows the graph of f', the derivative of a twice-differentiable function f, on the interval [-3,4]. The graph of f' has horizontal tangents at x = -1, x = 1, and x = 3. The areas of the regions bounded by the x-axis and the graph of f' on the intervals [-2,1] and [1,4] are 9 and 12, respectively.
(a) Find all x-coordinates at which f has a relative maximum. Give a reason for your answer.
(b) On what open intervals contained in -3 < x < 4 is the graph of f both concave down and decreasing?
Give a reason for your answer.
(c) Find the x-coordinates of all points of inflection for the graph of f. Give a reason for your answer.
(d) Given that f(1) = 3, write an expression for f(x) that involves an integral. Find f(4) and f(-2).

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.