# 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

AP Calculus Multiple Choice 2020, Q12 - Q22

AP Calculus Multiple Choice 2020, Q23 - Q33

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. ex
III. ln (ex - 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 .

1. What is the domain of the function f given by f(x) =
2. What is lim
3. The graph of a function f is shown above. For which of the following values of c does lim
4. The graph of which of the following equations has y = 1 as an asymptote?
5. The graph of a function f is shown above.
6. 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?
7. 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?
8. 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
9. 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 =
10. 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.
11. 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?
12. For which of the following does lim f(x) exist?
13. The graph of the function f is shown in the figure above. The value of limx(sin(f(x))) is
14. The graph of the function f is shown above. Which of the following statements must be false?
15. The figure above shows the graph of a function f with domain 0 ≤ x ≤ 4 . Which of the following statements are true?
16. Let f be the function defined above. For what value of k is f continuous at x = 2 ?

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