
Calculus Quiz
Authored by Roland Lucas
Mathematics
10th Grade
Used 2+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculate the limit as x approaches infinity for the expression \(\frac{2x - 5\sqrt{x} - 1}{8x^2 - 1}\).
A
B
C
D
E
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The function f has the property that as x gets sufficiently close to 4, but not equal to 4, the values of f(x) get closer and closer to -1. Which of the following statements must be true?
A
B
C
D
E
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If \(f(x) = \begin{cases} e^x + e^{-x} & \text{for } 0 < x < 2 \\ x^2 - x - e^x & \text{for } 2 \leq x < 8 \end{cases}\), then calculate \(\lim_{x \to 2} f(x)\).
A
B
C
D
E
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If \(k \neq 0\), calculate the limit as x approaches k for the expression \(\frac{x^2 + 3x - kx - 3k}{x - k}\).
A
B
C
D
E
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Let f be a continuous function on the closed interval [-2, 6] such that f(-2) = 4 and f(6) = -4. Which of the following is guaranteed by the Intermediate Value Theorem?
A
B
C
D
E
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The graph of the function f is shown above. Which of the following statements is true?
(A) f is continuous at x = 2
(B) f is continuous at x = 5
(C) f is continuous at x = 6
(D) f is continuous at x = 8
(E) f is continuous at x = 9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The table above gives values of continuous functions f and g and their values at selected values of x. If h is the function defined by h(x) = f(x)g(x) - 2, then lim(x→∞) h(x) = ?
A
B
C
D
E
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