1 / 19

2.5 – Continuity

2.5 – Continuity. A continuous function is one that can be plotted without the plot being broken. Is the graph of f(x) a continuous function on the interval [0, 4]?. No. At what values of x is the function discontinuous and why?. Is the graph of f(x) continuous at ?. Yes. 2.5 – Continuity.

starbuck
Download Presentation

2.5 – Continuity

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 2.5 – Continuity A continuous function is one that can be plotted without the plot being broken. Is the graph of f(x) a continuous function on the interval [0, 4]? No At what values of x is the function discontinuous and why? Is the graph of f(x) continuous at ? Yes

  2. 2.5 – Continuity What are the rules for continuity at a point?

  3. 2.5 – Continuity

  4. 2.5 – Continuity

  5. 2.5 – Continuity

  6. 2.5 – Continuity

  7. 2.5 – Continuity

  8. 2.5 – Continuity

  9. 2.5 – Continuity Removable Discontinuity Removable discontinuity occurs at a point where the function has a hole but does not have a function value. 

  10. 2.5 – Continuity Removable Discontinuity Removable discontinuity occurs at a point where the function has a hole but does not have a function value. 

  11. 2.5 – Continuity Removable Discontinuity Example: The given function is discontinuous. Where is it discontinuous and is it removable? .

  12. 2.5 – Continuity Removable Discontinuity Example: The given function is discontinuous. Where is it discontinuous and is it removable?

  13. 2.5 – Continuity Removable Discontinuity Examples

  14. 2.5 – Continuity

  15. 2.6 – Limits Involving Infinity; Asymptotes of Graphs

  16. 2.6 – Limits Involving Infinity; Asymptotes of Graphs

  17. 2.6 – Limits Involving Infinity; Asymptotes of Graphs

  18. 2.6 – Limits Involving Infinity; Asymptotes of Graphs Limits Involving Infinity Examples

  19. 2.6 – Limits Involving Infinity; Asymptotes of Graphs Oblique Asymptotes

More Related