# 2-4 Rates of Change and Tangent Lines Quick Check ```AP Calculus AB
2-4 Learning Check (with review)
P or NP
Calculus expert’s name is: ________________________
NO CALCULATOR SHOW ALL WORK (even for multiple choice)
STOP, DROP, AND AP!!
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1.
I can calculate average rates of change (𝐴𝑅𝑜𝐶 ) and instantaneous rates of change (𝐼𝑅𝑜𝐶 )
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  x   x  1
________
over the interval  0,3 ?
(A) 3
2.
(B) 1
(C) 
1
3
(D)
1
3
(E) 3
Which of the following is an equation for the tangent line to f  x   9  x2 at x  2 ?
(A) y 
1
9
x
4
2
(D) y  4 x  3
(B) y  4 x  13
________
(C) y  4 x  3
(E) y  4 x  13
OVER 
3.
Let f  x   2 x  x 2 .
(a) Find the instantaneous rate of change at x  3
(b) Find the equation of the tangent line at x  3
REVIEW – The following two questions are from the 2003 AP Calculus AB Exam
4.
5.
________
For x  0 , the horizontal line y  2 is an asymptote for the graph of function f .
Which of the following statements must be true?
________
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