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Learn the relations and functions of mathematics
Typology: Study notes
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A relation is a set of pairs of inputs and outputs. They can be written as an ordered pair, graphed and they can expressed in a mapping diagram. Domain The set of all inputs of a relation, the x coordinate. Range The set of all outputs of a relation, the y coordinate.
Is defined as a relation in which every input (element in the domain) is paired with exactly one output (element in the range). Graphing The vertical line test is used when determining if a graph of relation is a function. If we draw a vertical line through every part of the graph and have it only go through ONE point, then the relation is a function. Ordered Pairs When looking at ordered pairs to determine if they represent a function, there can be no repeating x’s. Function Notation When using function notation, we use F(x) instead of y.