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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Limits and continuity

Grade: 10-a Lesson: S2-L4

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	Find the limit of g(x) as x approaches infinity, where \$g(x) = (3x^2 - 2x) / (2x^2 + 5)\$.	A) \$ 5/2\$ B) \$ - 2/3 \$ C) \$ 3/2\$ D) None of these above
2	Determine the continuity of the function \$f(x) = 3x^2 - 4x + 2\$ at x = 2.	A) Discontinuous B) 20 C) - 6 D) Continuous
3	Find the limit of \$g(x) = (x^3 - 8) / (x^2 - 4x)\$ as x approaches 2.	A) 4 B) 0 C) 2 D) - 1
4	Determine if the function \$f(x) = (x^2 - 1)/(x - 1) \$ is continuous at x = 1.	A) Discontinuous B) Continuous C) - 2 D) 4
5	Find the limit of h(x) as x approaches infinity, where \$h(x) = (2x^3 + 5x^2 - 3) / (3x^3 - x + 1)\$.	A) \$ 2/3\$ B) \$ 11/2 \$ C) \$ 2/5 \$ D) \$ 9/5 \$
6	Find the limit of the function \$f(x) = 3x^2 + 2x - 1\$ as x approaches 2.	A) 12 B) 15 C) 10 D) 21
7	Determine if the function \$f(x) = sqrt(x)\$ is continuous at x = 4.	A) Discontinuous B) Continuous C) 20 D) 4
8	Find the value of k that makes the function \$f(x) = (2x - k)/(x + 3)\$ continuous at x = 1.	A) 20 B) \$ (2 + k)/4 \$ C) k doesn’t affect the continuity D) Discontinuous
9	Find the limit of f(x) as x approaches 3, where \$f(x) = (x^2 - 9) / (x - 3)\$.	A) 3 B) 9 C) 6 D) 16
10	Determine the value of a for which the function \$g(x) = (x^2 - 4)/(x - a)\$ is continuous at x = 3.	A) Discontinuous B) 1 C) 0 D) Continuous

Problem Id

Problem

Options

Find the limit of g(x) as x approaches infinity, where \$g(x) = (3x^2 - 2x) / (2x^2 + 5)\$.

A) \$ 5/2\$

B) \$ - 2/3 \$

C) \$ 3/2\$

D) None of these above

Determine the continuity of the function \$f(x) = 3x^2 - 4x + 2\$ at x = 2.

A) Discontinuous

B) 20

C) - 6

D) Continuous

Find the limit of \$g(x) = (x^3 - 8) / (x^2 - 4x)\$ as x approaches 2.

A) 4

B) 0

C) 2

D) - 1

Determine if the function \$f(x) = (x^2 - 1)/(x - 1) \$ is continuous at x = 1.

A) Discontinuous

B) Continuous

C) - 2

D) 4

Find the limit of h(x) as x approaches infinity, where \$h(x) = (2x^3 + 5x^2 - 3) / (3x^3 - x + 1)\$.

A) \$ 2/3\$

B) \$ 11/2 \$

C) \$ 2/5 \$

D) \$ 9/5 \$

Find the limit of the function \$f(x) = 3x^2 + 2x - 1\$ as x approaches 2.

A) 12

B) 15

C) 10

D) 21

Determine if the function \$f(x) = sqrt(x)\$ is continuous at x = 4.

A) Discontinuous

B) Continuous

C) 20

D) 4

Find the value of k that makes the function \$f(x) = (2x - k)/(x + 3)\$ continuous at x = 1.

A) 20

B) \$ (2 + k)/4 \$

C) k doesn’t affect the continuity

D) Discontinuous

Find the limit of f(x) as x approaches 3, where \$f(x) = (x^2 - 9) / (x - 3)\$.

A) 3

B) 9

C) 6

D) 16

Determine the value of a for which the function \$g(x) = (x^2 - 4)/(x - a)\$ is continuous at x = 3.

A) Discontinuous

B) 1

C) 0

D) Continuous