Download presentation
Presentation is loading. Please wait.
Published byDortha Richards Modified over 9 years ago
2
A function, f, is continuous at a number, a, if 1) f(a) is defined 2) exists 3)
3
A function is continuous if there are no breaks in the graph
4
At what points on the graph below is the function discontinuous?
5
Where are each of these discontinuous? 1) 2) 3) 4)
6
Removable Discontinuities Infinite Discontinuities Jump Discontinuities
7
Function redefined at a point
10
A function is continuous from the right if and continuous from the left if
11
A function is continuous on an interval if it is continuous at every number on the interval - if f is defined on only one side of an endpoint, it is continuous from the right or left
12
Show that is continuous on the interval [-1,1] - need to show that it is continuous from the right to -1 and continuous from the left to 1
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.