math 71 2.2 – graphs of functions 1. graph of a function: the graph of all the function’s...
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Math 71
2.2 – Graphs of Functions
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Graph of a function:the graph of all the function’s ordered pairs
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To test if a graph is a function we can use the __________________________________.
If any vertical line intersects a graph in two or more points, then the graph does not represent a function.
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To test if a graph is a function we can use the __________________________________.
If any vertical line intersects a graph in two or more points, then the graph does not represent a function.
vertical line test
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Ex 1.Which of the following graphs are functions?
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Ex 1.Which of the following graphs are functions?
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domain – set of all possible _________ ______range – set of all possible _________________
Domain and Range of Functions
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domain – set of all possible _________ ______range – set of all possible _________________
Domain and Range of Functions
-values
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domain – set of all possible _________ ______range – set of all possible _________________
Domain and Range of Functions
-values-values
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
{𝒚|−𝟐<𝒚 ≤𝟏 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
{𝒚|−𝟐<𝒚 ≤𝟏 }
{𝒙|−𝟑≤ 𝒙<𝟒 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|−𝟐<𝒙≤𝟒 }
{𝒚|−𝟐<𝒚 ≤𝟏 }
{𝒙|−𝟑≤ 𝒙<𝟒 }
{𝒚|−𝟏≤𝒚 ≤𝟐 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
{𝒚|𝒚 ≥𝟏 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
{𝒚|𝒚 ≥𝟏 }
{𝒙|−𝟏≤ 𝒙≤𝟑 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________ Domain __________________________
Range __________________________ Range __________________________
Domain and Range of Functions
{𝒙|𝒙≥−𝟐 }
{𝒚|𝒚 ≥𝟏 }
{𝒙|−𝟏≤ 𝒙≤𝟑 }
{𝒚|𝟎≤ 𝒚 ≤𝟐 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________
Range __________________________
Domain and Range of Functions
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________
Range __________________________
Domain and Range of Functions
{𝒙|−𝟏≤ 𝒙<𝟑 }
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Ex 2.Use the graph of each function to find its domain and range.
Domain __________________________
Range __________________________
Domain and Range of Functions
{𝒙|−𝟏≤ 𝒙<𝟑 }
{𝒚|𝒚=𝟐 ,𝟑 ,𝟒 }