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AP Calculus AB 2-4 Learning Check (with review) P or NP Calculus expertβs name is: ________________________ NO CALCULATOR SHOW ALL WORK (even for multiple choice) STOP, DROP, AND AP!! ο· ο· 1. I can calculate average rates of change (π΄π ππΆ ) and instantaneous rates of change (πΌπ ππΆ ) I can find equations of tangent lines and normal lines to a curve at a given point Which of the following values is the average rate of change for f ο¨ x ο© ο½ x ο« 1 ________ over the interval ο¨ 0,3ο© ? (A) ο3 2. (B) ο1 (C) ο 1 3 (D) 1 3 (E) 3 Which of the following is an equation for the tangent line to f ο¨ x ο© ο½ 9 ο x2 at x ο½ 2 ? (A) y ο½ 1 9 xο« 4 2 (D) y ο½ 4 x ο 3 (B) y ο½ ο4 x ο« 13 ________ (C) y ο½ ο4 x ο 3 (E) y ο½ 4 x ο« 13 OVER ο 3. Let f ο¨ x ο© ο½ 2 x ο x 2 . (a) Find the instantaneous rate of change at x ο½ 3 (b) Find the equation of the tangent line at x ο½ 3 REVIEW β The following two questions are from the 2003 AP Calculus AB Exam 4. 5. ________ For x ο³ 0 , the horizontal line y ο½ 2 is an asymptote for the graph of function f . Which of the following statements must be true? ________