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CPM Section 2.1. of inputs with outputs. or pairing. mapping. A relation is a ___________, ___________ ____________________. The set of input values is called the _______________ of the relation while the set of output values is called the _____________.
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of inputs with outputs or pairing mapping • A relation is a ___________, ___________ ____________________. • The set of input values is called the _______________ of the relation while the set of output values is called the _____________. • There are three ways to representing a relation. • Numerically:_________________________________________ • Graphically: _________________________________________ • Symbolically: _________________________________________ • A variable is: ______________________________________________. domain (x) range (y) table or list of ordered pairs graph on a coordinate plane expression involving variables a letter used to represent a #
Example: Consider driving west on the turnpike at 69 miles per hour. Let d represent the distance traveled and t the time. Represent this relation… 1. Numerically 2. Graphically 3. Symbolically Hours
In the previous example, we had the relation d=69t. The domain of this relation would be the values going in for t. Without considering the context of the problem, the domain of the relation would be ______________________. This is called the _____________ domain. But taken in the context of the problem, the domain of the relation is ________________. This is called the ____________ domain. All Real Numbers normal problem
Example: The relation gives the height (h) of a plane in feet t minutes after taken off on its 40-minute flight from Columbus to Pittsburgh. Represent this relation …. Numerically Graphically 0 0 10000 10 20000 20 30 10000 40 0 What is the normal domain of this relation? 0 10 20 30 40 All real #’s for T minutes What is the problem domain of this relation?