AP Calculus Multiple Choice 2020

Questions And Worked Solutions For AP Calculus Practice Multiple Choice 2020, Practice Exam,

AP Calculus Multiple Choice 2020 Practice Questions (pdf)

AP Calculus Multiple Choice 2020, Q1 - Q11

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AP Calculus Multiple Choice 2020, Q12 - Q22

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AP Calculus Multiple Choice 2020, Q23 - Q33

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1. The graph of a function f is shown above. Which of the following statements about f is false?
2. For x ≥ 0, the horizontal line y = 2 is an asymptote for the graph of the function f. Which of the following statements must be true?
3. Let f be a function that is continuous on the closed interval [2,4] with f(2) = 10 and f(4) = 20. Which of the following is guaranteed by the Intermediate Value Theorem?
4. If lim f(x) = 7 , which of the following must be true?
   I. f is continuous at x = 3.
   II. f is differentiable at x = 3.
   III. f(3) = 7.
5. If lim f(x) = L , where L is a real number, which of the following must be true?
6. At x = 3, the function given by f(x) =
7. Which of the following are continuous at x = 1?
   I. ln(x)
   II. e^x
   III. ln (e^x - 1)
8. If the function f is continuous for all real numbers and if
9. If f is a continuous function on [a,b], which of the following is necessarily true?
10. Let f be the function defined above. Which of the following statements about f are true?
    I. f has a limit at x = 2 .
    II. f is continuous at x = 2 .
    III. f is differentiable at x = 2 .

11. What is the domain of the function f given by f(x) =
12. What is lim
13. The graph of a function f is shown above. For which of the following values of c does lim
14. The graph of which of the following equations has y = 1 as an asymptote?
15. The graph of a function f is shown above.
16. A polynomial p(x) has a relative maximum at (−2,4), a relative minimum at (1,1), a relative maximum at (5,7), and no other critical points. How many zeros does p(x) have?
17. If a function f is continuous for all x and if f has a relative maximum at (−1,4) and a relative minimum at (3,−2), which of the following statements must be true?
18. Let f be a continuous function on the closed interval [−3,6]. If f (−3) = −1 and f(6) = 3, then the Intermediate Value Theorem guarantees that
19. The function f is continuous on the closed interval [0,2] and has values that are given in the table above. The equation f(x) = 1/2 must have at least two solutions in the interval [0,2] if k =
20. Let f be a function that is differentiable on the open interval (1,10). If f(2) = −5 , f(5) = 5, and f(9) = −5, which of the following must be true?
    I. f has at least 2 zeros.
    II. The graph of f has at least one horizontal tangent.
    III. For some c, 2 < c < 5 , f(c) = 3.
21. Let g be a continuous function on the closed interval [0,1]. Let g(0) = 1 and g(1) = 0 . Which of the following is NOT necessarily true?
22. For which of the following does lim f(x) exist?
23. The graph of the function f is shown in the figure above. The value of limx(sin(f(x))) is
24. The graph of the function f is shown above. Which of the following statements must be false?
25. The figure above shows the graph of a function f with domain 0 ≤ x ≤ 4 . Which of the following statements are true?
26. Let f be the function defined above. For what value of k is f continuous at x = 2 ?
    
    
    

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