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IM1 Chapter 1

Quantities and Relationships

TermDefinition
Dependent Quantity when one quantity depends on another in a problem situation
Independent Quantity the quantity that the dependent quantity depends on
Relation the mapping between a set of input values and a set of output values
Domain input values, x values
Range output values, y values
Function a relation such that for each element in the domain there exists exactly one element in the range
Vertical Line Test a visual method used to determine whether a relation represented as a graph is a function
Discrete Graph a graph of isolated points
Continuous Graph a graph of points that are connected by a line or smooth curve on the graph, no breaks
Function Notation a way of representing functions algebraically
Increasing Function a function that increases across the entire domain
Decreasing Function a function that decreases across the entire domain
Constant Function when the dependent variable of a function does not change
Function Family a group of functions that share certain characteristics
Linear Functions functions of the form f(x)=mx+b
Exponential Functions functions of the form f(x)=ab^x
Absolute Minimum a point that has a y-coordinate that is less than the y-coordinate of every other point
Absolute Maximum a point that has a y-coordinate that is greater than the y-coordinate of every other point
Quadratic Functions functions of the form f(x)=ax^2 + bx + c
Linear Absolute Value Functions functions of the form f(x)=a|x+b|+c
Linear Piecewise Functions functions that have equation changes for different parts, or pieces, of the domain
Created by: cbaumler
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