continuity and differentiability

continuity and differentiability

11th - 12th Grade

38 Qs

quiz-placeholder

Similar activities

ÔN TẬP CHƯƠNG III( SỐ PHỨC )

ÔN TẬP CHƯƠNG III( SỐ PHỨC )

12th Grade

40 Qs

GIỚI HẠN CỦA HÀM SỐ

GIỚI HẠN CỦA HÀM SỐ

11th Grade

35 Qs

Practica III. Teoría de conjuntos

Practica III. Teoría de conjuntos

12th Grade

41 Qs

Integration 2

Integration 2

11th Grade

40 Qs

Vector Introduction

Vector Introduction

10th - 12th Grade

40 Qs

various revision 2

various revision 2

9th - 12th Grade

34 Qs

Alg2/Trig Chapter 10 Review

Alg2/Trig Chapter 10 Review

9th Grade - University

36 Qs

Giới hạn

Giới hạn

11th Grade

34 Qs

continuity and differentiability

continuity and differentiability

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSF.IF.A.2, 8.F.A.3, HSA.REI.D.11

+6

Standards-aligned

Created by

Rohit Nandan

Used 143+ times

FREE Resource

AI

Enhance your content in a minute

Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...

38 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

4

1

-1

DNE

Tags

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Media Image

2

1

0

DNE

Tags

CCSS.HSA.REI.D.10

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Media Image

2

1

0

DNE

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A polynomial function is continuous to all real numbers.

TRUE

FALSE

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The funciton f(x) = x2-2x+1, continuous to the interval [-7,7]

TRUE

FALSE

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Is the function in the following graph differentiable at x = 0? Why?

Yes. The limit from the left and right of 0 both approach 0.

No, limx0x \lim_{x\rightarrow0}\left|x\right|\ does not exist.

No, limh0(x+hx)h\lim_{h\rightarrow0}\frac{\left(\left|x+h\right|-\left|x\right|\right)}{h} does not exist.

Yes, the function is differentiable because there is a constant rate of change of -1 from (,0)\left(-\infty,0\right) and 1 from (0,)\left(0,\infty\right) .

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Is the above function differentiable for all values of x? Why?

Yes, the slope of the tangent line can be calculated for all values of x.

Yes, the function is continuous for all values of x so the function is differentiable.

No, the function has a sharp turn in the first quadrant so if is not differentiable.

No, the function is discontinuous so it is not differentiable.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?