20 terms

Chapter 1: Quantities and Relationships

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Dependent Quality
When one quantity depends on another in a problem
situation, it is said to be the dependent quantity.
Independent Quality
The quantity that the dependent quantity depends upon
is called the independent quantity.
Relation
The mapping between a set of input values
called the domain and a set of output values called the
range.
Domain
The set of input values in a relation.
Range
The set of output values in a relation.
Function
A relation between a given set of elements,
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 which includes multiple points that are not connected by a line or a shape.
Function Notation
A way of representing functions
algebraically.
Increasing Function
If a function increases across the entire domain, then
the function is called an increasing function
Decreasing Function
If a function decreases across the entire domain, then
the function is called a decreasing function.
Constant Function
If the dependent variable of a function does not change
or remains constant over the entire domain, then the
function is called a constant function.
Function Family
A group of functions that share
certain characteristics.
Example:
Linear functions and exponential functions are examples of ____________.
Linear Function
This family includes functions of the
form f(x)= mx + b, where m and b are real numbers.
Example: f(x) = 3x + 2
Exponential Function
This family includes functions of
the form f(x) = a • b^x
, where a and b are real numbers,
and b is greater than 0 but is not equal to 1.
Absolute Maximum
This function has a
point that has a y-coordinate that is greater than the
y-coordinates of every other point on the graph.
Absolute Minimum
This function has a
point that has a y-coordinate that is less than the
y-coordinates of every other point on the graph.
Quadratic Function
In factored form this function is written in the
form f(x) = a(x - r1)(x - r2), where a does not equal 0. Hint*Y = ax^2 + bx + c
Linear Absolute Value Function
The _______ ________ function shows a graph of a number is its distance from zero
on the number line.
Linear Piece-wise Function
This type of functions include functions that have
equation changes for different parts, or pieces, of the
domain.