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CRM: Unit 4

Name___________________  Date_________________ Period________

Guided Notes: Identifying and Evaluating Functions

Part I: Identifying Functions

How to Determine if a Relation is a Function:

1. If we are looking at a table of values, each input must have ______________________ output.

2. If we are looking at the graph….we must use the vertical line test: No vertical line can pass through _______________________________________ points on the graph.

Example 1: Does the relationship represent a function?

|Function: [pic] |

|x (input) |-3 |0 |7 |8 |

|y (output) |-9 |-6 |1 |2 |

Example 2: Does the relationship represent a function?

[pic]

Example 3: Does the relationship represent a function?

y = 3x x = 3 y =3

Guided Practice

Are these relations functions? Give an explanation on the right hand side.

[pic]

1.

4.

|Table of Values |

|input |3 |2 |0 |3 |

|output |4 |-1 |2 |-3 |

Independent Practice

Explain whether the relation is a function or not.

1.

2.

3.

4. 5. 6.

Part II: Using Function Notation

What is function notation?

Function Notation is _________________________________________________. It is pronounced ________________________.

f(x) is a fancy way of writing _____ in an _______________.

Example 1: Evaluate [pic], when [pic] and [pic].

Guided Practice

Evaluate the function when [pic].

4. [pic]

1. [pic]

2. [pic]

Independent Practice

Evaluate the function [pic].

1. [pic]

2. [pic]

3. [pic]

4. f(x) = x2 – 2x + 7

5. f(x) = 3x

-----------------------

|Input | |Output |

|0 |[pic]|-6 |

|2 | |-4 |

|4 | |-2 |

|6 | |0 |

|Input | |Output |

| |[pic]| |

|3 | |2 |

|5 | |4 |

|7 | |6 |

|Input | |Output |

| |[pic]|7 |

|1 | |-7 |

| | |8 |

|2 | |-8 |

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