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1.2 Functions and Graphs. Domain and Range. Domain – all of the x-coordinates of a graph Range – all of the y-coordinates of a graph Notation Interval notation Set Notation Proper use of brackets & parentheses. Even/Odd Functions. A function is even if f(-x) = f(x) - PowerPoint PPT Presentation
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1.2 Functions and Graphs
Domain – all of the x-coordinates of a graph
Range – all of the y-coordinates of a graph Notation
◦ Interval notation◦ Set Notation
Proper use of brackets & parentheses
Domain and Range
A function is even if f(-x) = f(x)◦Ex: f(x) = x2
◦ Also look at graph◦ Symmetric about y-axis
A function is odd if f(-x) = -f(x)◦Ex: f(x) = x3
◦ Symmetric about origin
Even/Odd Functions
Two functions with restricted domains that create a new graph.◦ Ex:
Piecewise Functions
0 ,
0 ,)(
xx
xxxf
Doing multiple operations with multiple functions.◦Ex.: If g(x) = x2 and f(x) = x – 7, then what is
f(g(2))?
Composite Functions