Limits and Continuity

Find the limit as x approaches 0 from the right

• 0
• ∞
• -∞
• 1

Tags

CCSS.HSA.APR.D.6

Find the vertical asymptote(s) (if any) of the graph of the function.
 3x / (x² - 9)

• x=3
• x=0
• None
• X=3, x=-3

Tags

CCSS.HSF-IF.C.7D

Classify the function as continuous or classify its discontinuity.  

• Continuous!  The left and right limits match the function value.
• Discontinuous with a removable discontinuity
• Discontinuous with a jump discontinuity
• Discontinuous with an infinite discontinuity

Classify the function as continuous or classify its discontinuity.  

• Continuous!  The left and right limits match the function value.
• Discontinuous with a removable discontinuity
• Discontinuous with a jump discontinuity
• Discontinuous with an infinite discontinuity

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Classify the function as continuous or classify its discontinuity.  

• Continuous!  The left and right limits match the function value.
• Discontinuous with a removable discontinuity
• Discontinuous with a jump discontinuity
• Discontinuous with an infinite discontinuity

Tags

CCSS.HSF-IF.C.7D

• 1
• Does not exist
• 0
• -1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• Does not exist
• 2
• 0
• 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• Does not exist
• 0
• -1
• 1

Tags

CCSS.HSA.REI.D.10

Which of the following best describes the continuity at x = 3?

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.REI.D.10

Which of the following best describes the continuity at x = -3?

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

Tags

CCSS.HSF-IF.C.7B