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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.

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Discrete and Continuous Functions

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  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?

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