Why is the function discontinuous at $$a=-2$$ ?

Both $$f\left(a\right)$$ and $$\lim_{x\rightarrow-2}f\left(x\right)$$ do not exist.

Because $$f\left(a\right)$$ is not defined at $$x=-2$$ .

Because $$\lim_{x\rightarrow\ -2}f\left(x\right)$$ does not exist.

Because $$\lim_{x\rightarrow-2}f\left(x\right)\ne f\left(-2\right)$$

Why is the function discontinuous at $$a=-1$$ ?

Because $$\lim_{x\rightarrow\ -1}f\left(x\right)$$ does not exist.

Because $$f\left(a\right)$$ is not defined at $$x=-1$$ .

Because $$\lim_{x\rightarrow-1}f\left(x\right)\ne f\left(-1\right)$$

Both $$f\left(-1\right)$$ and $$\lim_{x\rightarrow-1}f\left(x\right)$$ do not exist.

Why is the function discontinuous at $$a=0$$ ?

Because $$\lim_{x\rightarrow0}f\left(x\right)\ne f\left(0\right)$$

Because $$f\left(a\right)$$ is not defined at $$x=0$$ .

Because $$\lim_{x\rightarrow\ 0}f\left(x\right)$$ does not exist.

Because both $$f\left(0\right)$$ and $$\lim_{x\rightarrow0}f\left(x\right)$$ do not exist.

Extra-Encounter: Continuity

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Medium

•

Continuity, Calculus, continuity

+1

Standards-aligned

John Rey Jimenez

Used 2+ times

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Removable Discontinuity

Jump Discontinuity

Infinite Discontinuity

The function is continuous at that point.

Tags

Continuity

Calculus

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