Introduction to Functions

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Introduction to Functions Relations vs. Functions Input – output Independent Variable – Dependent Variable

Mapping Diagram

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Ordered pairs associated with rule: (apple, p), (cat, t), (orange, a) ……

A function is actually a "special" kind of relation because it follows an extra rule. Just like a relation, a function is also a set of ordered pairs; however, every x-value must be associated to only one y-value. Suppose we have two relations written in tables,

Paul has already eaten 2 pieces of candy, then he eats 3 pieces of candy each minute after that. 1. Write an expression that represents the following situation. 2. Create a chart/table of values with 5 input values. 3. Is the relation a function? Why or why not? 4. Write 5 ordered pairs 5. Identify the domain and range of the function.