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Unit 1 Vocabulary August 25th and 26th
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Independent vs. Dependent Variables
Independent Variable: A variable in a functional relation whose value determines the value or values of other variables. Dependent Variable: a variable in a functional relation whose value is determined by the values assumed by other variables in the relation. Define each word in your own terms
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Domain vs. Range Domain: the set of "input" or argument values for which the function is defined Range: the codomain or the image of the function, depending upon usage Find the domain and range: {(1, 3) (2, 5), (5, 1), (7, 6)}
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Representation
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Increasing vs. Decreasing function
Increasing function: The y-value increases as the x-value increases. Decreasing function: The y-value decreases as the x-value increases
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Increasing vs. Strictly Increasing
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Decreasing vs. Strictly Decreasing
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Function vs. Relation Function: A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it. Relation: relationship between sets of information. Anything is a relation, but a function has to have a specific behavior.
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Continuous vs. Discrete
Continuous: A function for which small changes in the input result in small changes in the output, a graph is a single unbroken curve. Discrete: A function that is defined only for a set of numbers that can be listed
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Parent functions the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
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