Math Vocabulary Flashcards: Functions Chapter 4

Questions and Answers

What is a linear equation?

An equation that represents a non-linear function

An equation whose graph forms a curve

An equation with no solutions

An equation with a graph that is a straight line (correct)

What is a relation in mathematics?

Any set of ordered pairs

What does the domain refer to?

Set of x-coordinates

What does the range refer to?

The set of y-coordinates Signup and view all the answers

Define a function in mathematical terms.

A relation in which every member of the domain is paired with exactly one member of the range Signup and view all the answers

What is a function table?

Where you can organize the input, rule, and output Signup and view all the answers

What is meant by the independent variable?

The variable for the domain, it can be any number Signup and view all the answers

What is a dependent variable?

Variable for range, depends on independent variable Signup and view all the answers

What characterizes a linear function?

A function in which the graph of the solutions forms a straight line Signup and view all the answers

What is continuous data?

Can take on any value, no space between data values for a given domain, represented by a line Signup and view all the answers

What is discrete data?

Has space between possible data values, represented by dots Signup and view all the answers

Define a nonlinear function.

Functions whose rates of change aren't constant, i.e., not a straight line Signup and view all the answers

What defines a quadratic function?

A function in which the greatest power of the variable is 2, its graph is U-shaped opening up or down Signup and view all the answers

What is a qualitative graph?

A graph that is used to represent situations that may not have a numerical value or a graph in which numerical values aren't included Signup and view all the answers

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.