# MATA33H3 Lecture 8: Lecture 8 (10.3 - 10.4)

10.3 Continuity

Most of the functions that you have seen are continuous, or piece - continuous

f(x) = 1 is x is a fraction

-1 otherwise

Deﬁnition: (Heuristic)

A function f is continuous on some interval [a, b] if you can draw it’s graph without lifting your pencil

what can go wrong at a so that f is not continuous at a?

To rule out discontinuity at a functions, we require:

f(a) is defined 1.

2.

3.

Deﬁnition: A function is continuous t x=a if 1-3 are satisfied

Aside: Set operations. A set is a collection of happy objects, without

Repetition

**pinkox631**and

**3 others**unlocked

3

###### MATA33H3 Full Course Notes

Verified Note

3 documents