1 / 10

Discrete and Continuous Functions

Discrete and Continuous Functions. Discrete Function. The graph of a discrete function consists of separate points. Continuous Function. The graph of a continuous function is unbroken. Domain and Range. Domain (-∞,∞). Range [0,∞ ) { y: y > 0}. Domain and Range.

janna
Download Presentation

Discrete and Continuous Functions

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. Discrete and Continuous Functions

  2. Discrete Function The graph of a discrete function consists of separate points.

  3. Continuous Function The graph of a continuous function is unbroken.

  4. Domain and Range Domain (-∞,∞) Range [0,∞) {y: y>0}

  5. Domain and Range Domain [0,∞) Range [0,∞) {y: y>0}

  6. Is this graph a function? Yes, there is only one y for every x. Or only one output for each input.

  7. Vertical Line Test A relation is a function if and only if no vertical line intersects the graph of the relation at more than one point. WHAT????? It is a function if you draw a vertical line (up and down) anywhere on the graph and it intersects the graph 0 or 1 times. NOT 2 or more.

  8. Is this graph a function? Yes, every vertical line intersects the graph 0 or 1 times.

  9. Is this graph a function? No, the vertical line intersects the graph twice. This means that at least one input (x) has more than one output (y).

  10. What did you learn? • What are discrete and continuous functions? • How do you determine the domain and range of continuous functions? • How do I apply the vertical line test to determine if a relation is a function?

More Related