Math Vocabulary Flashcards: Functions Chapter 4

Study Notes

Key Concepts of Functions

Linear Equation: Represents a straight line when graphed, indicating a direct, constant rate of change.
Relation: Any set consisting of ordered pairs; establishes a connection between inputs and outputs.
Domain: Refers to the set of all possible x-coordinates within a function, defining the input values.
Range: Encompasses the complete set of y-coordinates that result from the domain values, representing the output.
Function: A specific type of relation where each input (domain) is associated with exactly one output (range), ensuring a unique correspondence.
Function Table: A structured format to display inputs, the governing rule, and corresponding outputs for a function.
Independent Variable: Represents the domain's input variable; can take any numerical value, influencing the output.
Dependent Variable: Corresponds to the range and is determined by the value of the independent variable.

Types of Functions

Linear Function: A type of function characterized by a graph that produces a straight line, indicating a consistent relationship between variables.
Continuous Data: Data that can assume any value within a range, represented graphically by a line, showing no gaps.
Discrete Data: Comprises distinct, separate values with gaps between possibilities, typically depicted with dots in visual representations.
Nonlinear Function: Functions with varying rates of change, resulting in graphs that do not form straight lines; exhibits more complex relationships.
Quadratic Function: Identified by its highest variable power of 2; graphs as a U-shaped curve that can open upwards or downwards.
Qualitative Graph: Utilizes graphical representations for situations lacking numerical data or where specific numerical values are omitted, focusing on trends or categories.

Description

Explore essential vocabulary for Functions in Chapter 4 of Glencoe Math. These flashcards cover key terms such as Linear Equation, Relation, Domain, Range, and Function. Enhance your understanding of mathematical concepts through targeted definitions.