Patterns and Functions

Front

What is a pattern in mathematics?

Back

A pattern in mathematics is a sequence or arrangement that follows a specific rule or formula.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create a straight line when graphed, while nonlinear functions create curves or other shapes.

Front

What is a graph?

Back

A graph is a visual representation of data or a function, showing the relationship between variables.

Front

What is a data table?

Back

A data table is a structured format for organizing and displaying data, often used to show relationships between variables.

Front

How can you determine if a function is linear?

Back

A function is linear if it can be expressed in the form y = mx + b, where m and b are constants.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function cannot be written in the form y = mx + b and may include exponents, roots, or other operations.

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function, calculated as the rise over run.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.