Continuous and Discontinuous Functions

Set of all input values.

• Relation

• Domain

• Range

• Function

A graph that does not come apart or have any gaps.

• continuous

• discontinuous

• decreasing

• increasing

• constant

A graph that has a hole in it, is disconnected or has a vertical asymptote.

• continuous

• discontinuous

• decreasing

• increasing

• constant

Set of all output values.

• Relation

• Domain

• Range

• Function

Name the locations of all JUMP discontinuities.

• -4, -1

• -4, 0, 1

• 0

• -4, 0

Name the locations of all REMOVABLE discontinuities.

• -1, 2, 4

• -1, 1, 4

• 1, 4

• -1, 4

Name the locations of all INFINITE discontinuities.

• -4

• -4, 0

• 0

Name the types and locations of all discontinuities.

• Removable at x = -1, Jump at x = 2

• Infinite at x = -1, Jump at x = 2

• Removable at x = -1, Infinite at x = 2

• Jump at x = -1, Infinite at x = 2

At what values should you evaluate to determine if the function is continuous?

• 1 and 2

• 1 and 3

• -1 and 5

• -1 and 3

Is the following function is continuous at x=0?

• Continuous

• Discontinuous