Discrete and Continuous Functions

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Presentation transcript:

Discrete and Continuous Functions Domain and Range

function consists of separate points. Discrete Functions The graph of a discrete function consists of separate points.

The graph of a continuous Continuous Functions The graph of a continuous function is unbroken.

Discrete Functions Domain? Range? 1,2,3 1,4,6

Continuous Functions Domain? Range? [1,∞) or x>1 [2,∞) or y>2

Is the function Discrete or Continuous??? NHS choir is selling tickets For $3 each. The function f(X) Gives the amount of money Collected after selling x tickets. Discrete

Domain: whole numbers 0, 1, 2,… Domain and Range? NHS choir is selling tickets For $3 each. The function f(X) Gives the amount of money Collected after selling x tickets. Domain: whole numbers 0, 1, 2,… Range: 0, 3, 6, 9,…

Is the function Discrete or Continuous??? A gas nozzle releases 2 gallons of gas per minute. The function f(x) gives the volume of gas released after x minutes. Continuous

Domain and Range? A gas nozzle releases 2 gallons of gas per minute. The function f(x) gives the volume of gas released after x minutes. Domain: [0,∞) or x>0 Range: [0,∞) or y>0

Homework: pg 81: 1-9