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Unit 4 Lesson 3: Introduction to Functions

Unit 4 Lesson 3: Introduction to Functions. EQ: Are all relations functions? Why? Are all functions relations? Why?. If you insert your money and press A1, what will you receive? C2? If the machine is filled properly, what would happen if you press either of those same buttons again?

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Unit 4 Lesson 3: Introduction to Functions

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  1. Unit 4 Lesson 3: Introduction to Functions EQ: Are all relations functions? Why? Are all functions relations? Why? If you insert your money and press A1, what will you receive? C2? If the machine is filled properly, what would happen if you press either of those same buttons again? Each time you press a button, an input, you may receive a DVD, an output.

  2. In the DVD vending situation, does each input have an output? Input/output combinations can be expressed in multiple ways in math. (see yesterday’s notes) i.e. mappings, tables, graphs, equations Use a mapping to represent the DVD machine:

  3. Input Output

  4. A function is a relation in which each input is paired with exactly one output. Look at the mapping we just did for the vending machine – function!! Suppose when pressing C1 both “Finding Dreamo” and “Raiders of the Mossed Bark” come out …. Imagine a machine where you input an age and the machine gives you the name of anyone that age. (see the mapping below) Is this a function? Explain.

  5. Are the following relations functions? How can you tell? a. b. c. d.

  6. e. f.

  7. The vertical line test is a visual check to see if a graph represents a function. If any points are vertical to each other, the graph is NOT a function. Examples: Tell whether each graph is a function. 1) 2)

  8. 3) 4) More examples: http://www.shodor.org/interactivate/activities/PossibleOrNot/

  9. Equations can be used to represent functions also. Consider the function machine below. The inputs are labeled as ‘x’ and the outputs are labeled as ‘y’. Can you find any input value that would give us more than one output?

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