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5.5 Graphs of Relations and Functions
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May 14, 2014
5.4 Graphs of Relations and Functions
Graphing relations:
The domain of a function is the set of values of the independent variable; this is generally the x value.
The range of a function is the set of values of the dependent variable; this is generally the y value.
5.5 Graphs of Relations and Functions
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Example: Graph the following table:
Whole Number,x
Double Whole,y
0 0
1 2
2 4
3 6
4 8
5.5 Graphs of Relations and Functions
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We can determine whether a relation is a function or not by just looking at a graph by using the Vertical Line Test
Vertical Line Test for a Function
A graph represents a function when no two points on the graph lie on the same vertical line.
5.5 Graphs of Relations and Functions
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Example: Is this a function? Why or why not?
Verticallinetest?Yes/No?
5.5 Graphs of Relations and Functions
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May 14, 2014
Example: Is this a function? Why or why not?
Verticallinetest?Yes/No?
5.5 Graphs of Relations and Functions
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May 14, 2014
Example: Is this a function? Why or why not?
Verticallinetest?Yes/No?
5.5 Graphs of Relations and Functions
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Example: Determine the domain and range of the graph of the function
Domain:
Range:
5.5 Graphs of Relations and Functions
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May 14, 2014
Example: Determine the domain and range of the graph of the function
Domain:
Range:
5.5 Graphs of Relations and Functions
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May 14, 2014
Example: Determine the domain and range
Domain:
Dots=inite,notcontinuous!
Range:
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Example: Determining the domain values and range values from the graph of a function
f(x) = 3x + 7
a. Determine the range valuewhen the domain value is2
b. Determine the domainvalue when the rangevalue is 4
5.5 Graphs of Relations and Functions
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5.5 Graphs of Relations and Functions
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