Updates Hand back Quiz 7
 Go over Quiz 7
Bell Ringer Concavity and Inflection Points
Find all intervals on which f(x) = (x + 1) / (x  3) is concave upward. (1. ∞) (∞, ∞) (∞, 3) (3, ∞) none of the above
Find all points of inflection: f(x) = x4 / 12  2x2 + 15 (2, 0) (2, 0); (2, 0) (0, 15) (2, 25/3); (2, 25/3) none of these
What is the horizontal asymptote for the following: f(x) = 4  6 / x3? y = 4 y = 0 x = 4 y = 4 none of the above
What is the horizontal asymptote for the following: f(x) = (3x  2) / (6x  1) y = ½ y = ½ x = ½ y = 3  none of the above
Review Lesson Exit Ticket Posted at the end of the block.
 Lesson Objective(s) How can limits at infinity be calculated?
 How are limits at infinity related to horizontal asymptotes?
Standard(s)  #1  Make sense of problems and persevere in solving them
 #2  Reason abstractly and quantitatively
 #5  Use appropriate tools strategically
 #6  Attend to precision
 #8  Look for and express regularity in repeated reasoning
Past Checkpoints  Extrema (page 169)
 A  #4
 B  #6
 C  #18
 D  #22
 E  #34
 Rolle's Theorem (page 176)
 Mean Value Theorem (page 176177)
 Increasing/Decreasing Functions (page 186)
 L  #6
 M  #20
 N  #44
 O  #48
 Concavity and Points of Inflection (page 195)
 P  #6
 Q  #16
R  #18 S  #20
 T  #24
U  #32 V  #38
 W  #52
