Second Holiday Reflection

My next blog with have to do whether a
function is contionuous or there is a
discontinuity.

-a function is continuous is it does not contain
one of the four types of discontinuities.

-to be continuous a function must have a limit
at every point on the interior and be defined at
the limit of the point.

here are the four types of discontinuities to
look for:

1. removable- when the graph is not defined at a
point. (open circle).
- the limit exists

- the function is conti uous everywhere except
at that point. therefore, if we are talking about
the function as a whole we say that it is not
continuous.

2. jump
- the limit does not exist

- the function is continuous everywhere except
at the jump. it is not continuous as a whole.

3. infinate- an asymptote
- the limit may or may not exist

- the function is continuous everywhere except
at the asymptote. it is not continuous as a
whole.

4. oscillation- an extreme oscillating graph
- the limit does not exist

- the function is not continuous.