A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Algebra 3
2.1 Basics of Functions and their Graphs
• Define the terms "Relation", "Domain", "Range", & "Function"
• Decide whether or not specific equations are functions using the vertical line test
• Evaluating functions at specific values
• Identifying domain/range of a function's graph.
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Relation: A set of ordered pairs.
Domain: The set of all x values of a relation.
Range: The set of all y values of a relation.
Functions: A function is a Relation in which every x value only has one y value. Given this relation, what is the domain and range? Is the relation a function?
{(1, 6), (2, 6), (3, 8), (4, 9)}
Domain:
Range:
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
State the domain and range of the relation. Then state whether it is a function or not.
{(6, 1), (6, 2), (8, 3), (9, 4)}
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Vertical Line Test: If a vertical line drawn through a graph touches the graph at More than 1 point, it is NOT a function.
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Evaluating functions at values:
Just plug in the given value for x (or your variable)
Ex:
a) find f(2)
b) find f(x+2)
c) find f(­x)
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Finding the domain & range of a function's graph:
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Finding the domain & range of a function's graph:
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A3 2.1 Basics of Functions and their Graphs.notebook
September 08, 2016
Homework:
Pg 210: 27, 30
Pg 211: 55, 57­59, 62
Pg 212: 77, 80, 82
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