DOMAIN OF GRAPHS Vertical Line Test – Is the graph a function? Algebra 2/Trigonometry Name: _____________________________ 2.1, 7.3 Functions, Domain & Range Notes Date: ______________________________ Relation – ____________________________________________________________________ Domain – ____________________________________________________________________ Range – _____________________________________________________________________ Function – ____________________________________________________________________ ____________________________________________________________________________ To determine if a relation is a function you can either look at the mapping of a set of points or use the Vertical Line Test. 1.) Function? 2.) Function? YES NO YES NO Vertical Line Test – Is the graph a function? DOMAIN OF GRAPHS To determine the domain of a function, think about what x-values are possible … Most of the equations you have been working with have _____ ______________ on their domain. Meaning _______________________________________________________________ We say, _____________________________________________________________ There are three exceptions: ______________ 2) _________________ 3) __________________ Implied Domain – ________________________________________________________ When the domain is “undefined”: ___________________________________________ ___________________________________________

Domain and Range Interval Notation Algebra 2/Trigonometry Name: _____________________________ 2.1, 7.3 Functions, Domain & Range Notes Date: ______________________________ ** domain and range can also be expressed as an inequality, but we will stay consistent and always use interval notation Domain and Range Interval Notation Parenthesis: Bracket Union: Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________

Algebra 2/Trigonometry Name: _____________________________ 2.1, 7.3 Functions, Domain & Range Notes Date: ______________________________ Directions: Look at each graph and determine the domain and range. Also determine whether the graph is a function. 1. 2. 3. Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ 4. 5. 6. ⃝ Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ 7. 8. 9. Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________ Domain: _________________ Range: __________________ Function? ________________

Section 7.3 – Operations of Functions Algebra 2/Trigonometry Name: _____________________________ 2.1, 7.3 Functions, Domain & Range Notes Date: ______________________________ Section 7.3 – Operations of Functions Addition: Subtraction: Multiplication: Division: Example 1: Example 2: Example 3: Addition: Subtraction: Multiplication: Division: