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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

- The graph of a function f is shown above. Which of the following statements about f is false?
- 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?
- 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?
- 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. - If lim f(x) = L , where L is a real number, which of the following must be true?
- At x = 3, the function given by f(x) =
- Which of the following are continuous at x = 1?

I. ln(x)

II. e^{x}

III. ln (e^{x}- 1) - If the function f is continuous for all real numbers and if
- If f is a continuous function on [a,b], which of the following is necessarily true?
- 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 .

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

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