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# 2.1.1 functions and their graphs

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### 2.1.1 functions and their graphs

1. 1. 2.1 Functions and Their Graphs<br />Formal Notation for Domain and Range<br />Relations vs. Functions (function notation)<br />More Domain Practice<br />
2. 2. Domain – formal notation<br />The set of all possible values of the independent variable in a function.<br />read “x such that x belongs to …”<br />“x such that x is greater than …”<br />
3. 3. … more possibilities for domain<br />x such that x is greater than or equal to …<br />x such that x is less than …<br />x such that x does not equal … (implies x can be all other real numbers)<br />
4. 4. Range – formal notation<br />The set of all possible values of the dependent variable in a function.<br />read “y such that y belongs to …”<br />etc.<br />
5. 5. Function -<br />A relation in which each value of x has a unique y value. <br />For example –<br />NOT a function<br />function<br />
6. 6. Practice – Is it a function?<br />YES<br />NO<br />YES<br />YES<br />YES<br />NO<br />
7. 7. Reading Function Notation<br />Corresponds to the point (0, -1)<br />
8. 8. Reading Function Notation<br />Corresponds to the point (1, 2)<br />
9. 9. Reading Function Notation<br />
10. 10. Reading Function Notation<br />
11. 11. Reading Function Notation<br />
12. 12. Reading Function Notation<br />
13. 13. Reading Function Notation<br />
14. 14. Identify the domain of the function<br />Sqrt of negative<br />is BAD!<br />Divide by zero <br />is BAD!<br />
15. 15. Assignment<br />68 <br /># 1 – 4, 9 – 10, 14 – 15, 21, 27 – 39, 45, 47, 51, 55<br />