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Domain and Range
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What we’ve been doing: What is the Domain and Range of the following: {(1, 3), ( 2, 4), (5, 6)}
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But domain and range can also be determined from a graph
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Continuous Relations Continuous Relations are relations that are not just a set of points but are lines or curves that have infinitely many points.
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Domain: Using an AND Inequality
Find the left most Point, and the right Most point. Then x is between those two points.
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When a graph of a relation extends forever left to right, then the Domain is ALL REAL NUMBERS
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Domain When there is a “hole” or the graph is in two parts, we can use an or statement for the domain.
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Range on a Continuous Relation
The Range is the y-values. Another way to think about this is the HEIGHT of a graph. We can also find the range as a inequality and not just a list of points.
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Range: Using an AND Inequality
Find the Lowest and Highest point Then y is between those two values
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Range: Using an OR Inequality
We can use an or inequality when the graph is in two parts.
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Range: All Real Numbers
A graph of a relation extends forever above and below, then the Range is ALL REAL NUMBERS
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