Unit 1A Concept Check #5: Continuity

You can find the limit of a function at any value.  The limits below are NOT end behavior limits. Use the graph to choose the correct limits.

Tags

Continuity

Based on the graph, choose the correct function values.

• f(-3) = does not exist

  f(0) = -4

  f(2) = does not exist

• f(-3) = 5

  f(0) = does not exist

  f(2) = ∞

• f(-3) = 5

  f(0) = -4

  f(2) = ∞

• f(-3) = does not exist

  f(0) = does not exist

  f(2) = does not exist

Tags

Continuity

Determine if the function is continuous.  If the function is not continuous, identify the type of discontinuity (removable, infinite, or jump) and the x-value(s) of the discontinuity.

(Select all correct responses)

• The function is continuous

• Infinite Disc. @ x = -3

• Jump Disc. @ x = 0

• Rem. Disc. @ x = 0

• Rem Disc. @ x = 2

Tags

Continuity

Tags

Continuity

Determine if the function is continuous.  If the function is not continuous, identify the type of discontinuity (removable, infinite, or jump) and the x-value(s) of the discontinuity. FACTOR IF NECESSARY.

(Select all correct responses)

• The function is continuous

• Infinite Disc. @ x = -1

• Infinite Disc. @ x = -2

• Rem. Disc. @ x = -2

• Jump Disc. @ x = -1

Tags

Continuity