Unit 1 Vocabulary August 25th and 26th

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

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)}

Representation

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

Increasing vs. Strictly Increasing

Decreasing vs. Strictly Decreasing

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.

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

Parent functions the simplest function of a family of functions that preserves the definition (or shape) of the entire family.