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Continuity of Functions

Continuity of Functions

Example 1

What must be true for a function to be continuous on an interval of the form (a,b]?

Example 2

What must be true for a function to be continuous on an interval of the form [a,b]?

Example 3

Determine if f is continuous on each of the following intervals.

  • [a,b]
  • [a,b)
  • (a,b]
  • (a,b)

Example 4

Determine if f is continuous on each of the following intervals.

  • [a,b
  • [a,b
  • (a,b]
  • (a,b)

Example 5

Determine if f is continuous on each of the following intervals.

  • [a,b]
  • [a,b)
  • (a,b]
  • (a,b)

Example 6

Determine if the function 

is continuous on each of the following intervals.

  • [-1,0]
  •  [-1,0)
  • (-1,0]
  • (-1,0)
  • [0,1]
  • [0,1)
  • (0,1]
  • (0,1)

Example 7

Determine if the function 

is continuous on each of the following intervals.

  • [0,1]
  • [0,1)
  • (0,1]
  • (0,1)
  • [1,5]
  • [1,5)
  • (1,5] 
  • (1,5)
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