Continuity on Intervals (Graphs)

Continuity on Intervals (Graphs)

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Medium

CCSS
HSF.IF.B.4, HSF.IF.B.5, HSF.IF.C.7

Standards-aligned

Created by

Cyrus Cruz

Used 229+ times

FREE Resource

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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which one of these open intervals is the function discontinuous?

(-5,-4)

(-4,-2)

(-2,0)

(0,1)

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which one of these intervals is the function continuous?

(-2,-0.5)

[-2,-0.5)

[-2,-0.5]

(-2,-0.5]

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which is not an appropriate reason for the discontinuity on [-2,1]?

f(-2) not defined

removable discontinuity at x = -0.5

limx0.5f(x)\lim_{x\rightarrow-0.5}f\left(x\right) does not exist

limx1f(x)\lim_{x\rightarrow1^-}f\left(x\right) f(1)\ne\ f\left(1\right)

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which is not an appropriate reason for the discontinuity on [1,3]?

 limx1+f(x)  f(1)\lim_{x\rightarrow1^+}f\left(x\right)\ \ne\ f\left(1\right)  

f(3) is not defined

removable discontinuity at x = 1

infinite discontinuity at x = 3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which one of these open intervals is the function discontinuous?

(-2,-1)

(-1,1)

(0,2)

(2,3)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which one of these intervals is the function continuous?

(-1,1)

[-1,1)

[-1,1]

(-1,1]

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of these is not an appropriate reason for the discontinuity on \left(-\infty,0\right) ?

infinite discontinuity at x = -2

jump discontinuity at x = -1

f(-1) is not defined

 limx2f(x)\lim_{x\rightarrow-2}f\left(x\right)  does not exist

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