Chapter 1 Vocabulary (ALGEBRA)

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Linear Function
Function family that includes functions of the form f(x)=mx+b
Exponential Function
Function family that includes functions of the form f(x)=ab^x
Linear Absolute Value Function
Function family that includes functions of the form f(x)=|mx+b|
Quadratic Function
Function family that includes the functions of the form f(x)=ax^2+bx+c
Function
A relation between a given set of elements, such that for each element in the domain there exists exactly one unique element in the range.
Vertical Line Test
A visual way to determine if a graph is a function or non-function.
Domain
The set of input values.
Range
The set of output values
Maximum
If there is a point that has a y-coordinate that is greater than the y-coordinates of every other point on the graph.
Minimum
If there is a point that has a y-coordinate that is less then the y-coordinates of every other point on the graph.
Increasing
As the inputs increase over the domain the outputs increase.
Decreasing
As the inputs increase over the domain the outputs decrease.
Discrete Graphs
A graph of isolated points. (Disconnected)
Continuous Graphs
A graph that is connected by a line or curve. (Connected)
Dependent Quantity
The variable in a relation with a value that depends on the independent quantity.
Independent Quantity
The quantity that the dependent quantity depends upon.
Function Notation
A way to represent functions algebraically using f(x)
Increasing Function
A function where the y-value increases as the x-value increases.
Decreasing Function
A function where the y-value decreases as the x value increases.
Constant Function
A function whose value is the same for all the elements in the domain (A horizontal line)
Function Family
A group of functions that share certain characteristics.