Continuity of Graphed Functions

At x=a there is a _________ discontinuity.

• continuous

• removable

• non removable

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which of the following best describes the continuity at x = 2?

• Non removable Discontinuity

• Removable Discontinuity

• Continuous

• Removable continuity

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

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

At which x-value is there a non-removable discontinuity?

• $x=-3$

• $x=-6$

• $x=1$

• $x=2$

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.7

Is f(x) continuous at x = a, and why?

Select ALL the correct answers

• No,  because $\lim_{x\rightarrow a^-}f\left(x\right)\ne\lim_{x\rightarrow a^+}f\left(x\right)$

• No, because   $\lim_{x\rightarrow a}f\left(x\right)\ne f\left(a\right)$

• Yes, because  $\lim_{x\rightarrow a^-}f\left(x\right)=\lim_{x\rightarrow a^+}f\left(x\right)$

• Yes, because  $\lim_{x\rightarrow a}f\left(x\right)=f\left(a\right)$

• No, because f(a) is undefined

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Is the function continuous at x = 2, and why?

• Yes, $\lim_{x\rightarrow2}f\left(x\right)=f\left(2\right)$

• Yes, $\lim_{x\rightarrow2^-}f\left(x\right)=\lim_{x\rightarrow2^+}f\left(x\right)$

• No, $\lim_{x\rightarrow2^-}f\left(x\right)\ne\lim_{x\rightarrow2^+}f\left(x\right)$

• No, $\lim_{x\rightarrow2}f\left(x\right)\ne f\left(2\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Discuss the continuity of the graphed function:

Select ALL the correct answers

• continuous at 2

• non removable discontinuity at -1

• removable discontinuity at -1

• non removable discontinuity at 4

• removable discontinuity at 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Discuss the continuity of the graphed function:

Select ALL the correct answers

• continuous at -4

• non removable discontinuity at -4

• removable discontinuity at 0

• removable discontinuity at -4

• continuous at 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Discuss the continuity of the graphed function:

Select ALL the correct answers

• continuous at -2

• continuous at 1

• removable discontinuity at -1

• non removable discontinuity at 3

• continuous at 4

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Discuss the continuity of the graphed function:

Select ALL the correct answers

• continuous at -2

• continuous at 1

• removable discontinuity at 2

• non removable discontinuity at 2

• continuous at 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7