This preview shows page 1. Sign up to view the full content.
Unformatted text preview: nd for which it is known that
f ¢( x ) = (4 - x ) x -3 for x > 0.
(a) Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative
minimum, or neither for the function f. Justify your answer.
(b) Find all intervals on which the graph of f is concave down. Justify your answer.
(c) Given that f (1) = 2, determine the function f. WRITE ALL WORK IN THE EXAM BOOKLET. © 2011 The College Board.
Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT PAGE.
-3- 2011 AP® CALCULUS AB FREE-RESPONSE QUESTIONS (Form B)
(seconds) 0 v (t )
(meters per second) 40 60 100 136 B(t )
(meters) 10 9 49 2.0 2.3 2.5 4.6 5. Ben rides a unicycle back and forth along a straight east-west track. The twice-differentiable function B models
Ben’s position on the track, measured in meters from the western end of the track,...
View Full Document