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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

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: at Home

Problem Id	Problem	Options
1	Find the limit of the function \$h(x) = (x^3 - 8) / (x^2 - 4)\$ as x approaches 2.	A) 5 B) 2 C) 3 D) 4
2	Determine if the function \$f(x) = (3x - 2)/(x + 1)\$ is continuous at x = 2.	A) \$ 3/4\$ B) 16 C) Discontinuous D) Continuous
3	Limit of \$(3x^3 - 2x^2 + 5) / (2x^3 + x - 1)\$ as x approaches - 1.	A) -7 B) 0 C) 6 D) 3
4	Find the limit of the function \$f(x) = (3x^2 - 5x + 2) / (2x^2 + 3x - 2)\$ as x approaches 2.	A) \$ 1/3 \$ B) 3 C) -6 D) 9
5	Determine if the function f(x) = 2x + 3 is continuous at x = 4.	A) Continuous B) Discontinuous C) -11 D) 8
6	Determine if the function \$f(x) = (x^2 - 9)/(x - 3)\$ is continuous at x = 3.	A) Continuous B) Discontinuous C) \$ 3/2 \$ D) 23
7	Find the limit of \$(2x^3 - 3x^2 + 5x - 7) \$ as x approaches 2.	A) 9 B) 7 C) 17 D) 13
8	Determine if the function \$f(x) = sqrt(x + 4)\$ is continuous at x = -4.	A) 8 B) - 8 C) Continuous D) Discontinuous
9	Find the values of the constant b that makes the function \$g(x)= (2x − b)/(x + 3)\$ continuous at x = 3.	A) b = 0 B) b = 6 C) Any real number D) Discontinuous
10	Limit of \$(3x^2 + 2x - 5) / (4x^2 - 3)\$ as x approaches 2.	A) \$ 13/11 \$ B) \$ 11/15\$ C) \$ 15/17 \$ D) \$ 11/13\$

Problem Id

Problem

Options

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

A) 5

B) 2

C) 3

D) 4

Determine if the function \$f(x) = (3x - 2)/(x + 1)\$ is continuous at x = 2.

A) \$ 3/4\$

B) 16

C) Discontinuous

D) Continuous

Limit of \$(3x^3 - 2x^2 + 5) / (2x^3 + x - 1)\$ as x approaches - 1.

A) -7

B) 0

C) 6

D) 3

Find the limit of the function \$f(x) = (3x^2 - 5x + 2) / (2x^2 + 3x - 2)\$ as x approaches 2.

A) \$ 1/3 \$

B) 3

C) -6

D) 9

Determine if the function f(x) = 2x + 3 is continuous at x = 4.

A) Continuous

B) Discontinuous

C) -11

D) 8

Determine if the function \$f(x) = (x^2 - 9)/(x - 3)\$ is continuous at x = 3.

A) Continuous

B) Discontinuous

C) \$ 3/2 \$

D) 23

Find the limit of \$(2x^3 - 3x^2 + 5x - 7) \$ as x approaches 2.

A) 9

B) 7

C) 17

D) 13

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

A) 8

B) - 8

C) Continuous

D) Discontinuous

Find the values of the constant b that makes the function \$g(x)= (2x − b)/(x + 3)\$ continuous at x = 3.

A) b = 0

B) b = 6

C) Any real number

D) Discontinuous

Limit of \$(3x^2 + 2x - 5) / (4x^2 - 3)\$ as x approaches 2.

A) \$ 13/11 \$

B) \$ 11/15\$

C) \$ 15/17 \$

D) \$ 11/13\$