Continuity Piecewise Functions

Find the set of ordered pairs for each function rule when the domain is:

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Graph each function. Then state the domain, range, and whether it is continuous or discontinuous?

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• 1 ; 1

• 1 ; 2

• 2 ; 2

• 2 ; 3

• Does not exist

• -2

• -1

• Discontinuous

Use the graph of f(x) above to find each limit. Justify your answer using the definition of a limit

• 0

• Does not Exist

State whether each function is continuous or discontinuous at x = -2 and classify any discontinuities as jump, infinite, or point. Justify your answer using the definition of continuity.

Name the discontinuity at x=2. 

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

Name the discontinuity at x=2. 

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

Name the discontinuity at x=2. 

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

Name the discontinuity at x=2. 

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2