Limits and Continuity

Consider the graph of f(x).  The function is discontinuous at the following values EXCEPT

• -3

• 0

• 1

• 2

• continuous

• discontinuous, removable

• discontinuous, jump

• discontinuous, essential

• continuous

• discontinuous, essential

• discontinuous, removable

• discontinuous, jump

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Which is/are the conditions for a function to be continuous at x = a?

• all of the choices

Which is TRUE about the given graph?

• The function has infinite discontinuity at x = -2.

• The function has a jump discontinuity at x = -2.

• The function has a removable discontinuity at x = 3.

• The function has a removable discontinuity at x = -2.

Tags

CCSS.HSF-IF.C.7D

Which is TRUE about the given graph?

• It has an infinite discontinuity at x = 4.

• It has a jump discontinuity at x = -4.

• It has an infinite discontinuity at x = -4.

• It has a removable discontinuity at x = -4.

Tags

CCSS.HSF-IF.C.7D

If at x = 1, the left hand limit of f(x) is 2, and its right hand limit is 0, then f(x) has _____.

• an infinite discontinuity at x = 1

• a jump discontinuity at x = 1

• a removable discontinuity at x = 1

Which type of discontinuity has a limit that exists at x = a?

• infinite

• jump

• removable

• an infinite discontinuity at x = -6.

• a removable discontinuity at x = -6

• a jump discontinuity at x = -6

Tags

CCSS.HSF-IF.C.7D