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Limits and Continuity Practice

Authored by David Brackmann

Mathematics

10th - 12th Grade

CCSS covered

Used 32+ times

Limits and Continuity Practice
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the correct explanation on discontinuity at x = b ?

Removable discontinuity

Jump discontinuity

Infinite discontinuity

Tags

CCSS.HSA.REI.D.10

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Find the value of c that makes the function continuous.

c=1/3
c=3
c=-3
c=-1/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following best describes the continuity at x = 1?

Continuous
Removable Point Discontinuity
Non-removable Infinite Discontinuity
Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph of the function f is shown. Which of the following statements is FALSE?

limx2f(x)\lim_{x\rightarrow2}f\left(x\right) exists

limx3f(x)\lim_{x\rightarrow3}f\left(x\right) exists

limx4f(x)\lim_{x\rightarrow4}f\left(x\right) exists

limx5f(x)\lim_{x\rightarrow5}f\left(x\right) exists

The function f is continuous at x=3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph of the function f is shown. At what value of x does f have a jump discontinuity?

1

3

7

10

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph of a function f is shown in the figure above. Which of the following statements is true?

f(a)=2f\left(a\right)=2

f is continuous at x=a

limxaf(x)=1\lim_{x\rightarrow a}f\left(x\right)=1

limxaf(x)=2\lim_{x\rightarrow a}f\left(x\right)=2

limxaf(x)\lim_{x\rightarrow a}f\left(x\right) does not exist

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph of a function f is shown Which of the following limits does not exist?

limx1f(x)\lim_{x\rightarrow1^-}f\left(x\right)

limx1f(x)\lim_{x\rightarrow1}f\left(x\right)

limx3f(x)\lim_{x\rightarrow3^-}f\left(x\right)

limx3f(x)\lim_{x\rightarrow3}f\left(x\right)

limx5f(x)\lim_{x\rightarrow5}f\left(x\right)

Tags

CCSS.HSF-IF.C.7B

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