Q3.3 Continuity (11-H)

What type of discontinuity shows that the limit of the function exists as x approaches a certain value?

• Removable/Hole Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

• Endpoint Discontinuity

Which of the following graphs presents a removable/hole discontinuity at x = 1?

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Tags

CCSS.HSF-IF.C.7D

Which of the following graphs presents a removable/hole discontinuity at x = -2?

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Which of the following graphs presents an infinite discontinuity at x = 1?

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Tags

CCSS.HSF-IF.C.7D

Which of the following graphs presents a jump discontinuity at x = -2?

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Tags

CCSS.HSF-IF.C.7B

Which of the following graphs presents jump discontinuity at x = 1?

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At what values of x can jump discontinuity be observed?

• 2 and 6

• 2 and 8

• -2 and 5

• 8 and 10

At what values of x can removable/hole discontinuity be observed?

• 2 and 8

• 8 and 10

• -2 and 6

• 0 and 4

At what values of x can infinite continuity be observed?

• -2 and 5

• 2 and 6

• 4 and 8

• 8 and 10

What type of discontinuity can be observed on the function $f\left(x\right)=-\frac{x^2}{x^2+4}$  ?

• Removable/Hole

• Infinite

• Jump

• Endpoint