Piecewise Functions Continuity

Name the location of a jump discontinuity for the function f (x). Enter it in the form x = number.

How many jump discontinuities does the function have?

Tags

CCSS.HSF-IF.C.7B

This piecewise function is:

• Continuous

• Discontinuous

• Neither continuous nor discontinuous

• Both continuous and discontinuous

Tags

CCSS.HSF-IF.C.7B

The function is:

• Continuous

• Discontinuous

• Neither continuous nor discontinuous

• Both continuous and discontinuous

Tags

CCSS.HSF-IF.C.7B

• -4 and 20

• Only -4

• Only 20

• Cannot be continuous

• Yes because both graphs meet at a y value of -4

• Yes because both graphs meet at a y value of -8

• Yes because both graphs meet at a y value of 28

• No because the two graphs do not meet up at x=-2

Tags

CCSS.HSF-IF.C.7B

Is this piecewise function continuous?

• Yes

• No

Tags

CCSS.HSF-IF.C.7B

• -4

• 4

• -8

• 8

• Cannot be continuous

• -2

• -4

• -6

• -3

• Cannot be continuous

A Piece-Wise function is ALWAYS continuous.

• True

• False

Tags

CCSS.HSF-IF.C.7B