Math 8 Functions Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the slope of a line in a linear function?

Back

The slope is the rate of change of the function, indicating how much y changes for a unit change in x.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change, while nonlinear functions do not.

Front

What does a graph of a nonlinear function look like?

Back

A nonlinear function graph can be curved or have varying slopes, unlike a straight line.

Front

What is a rate of change?

Back

The rate of change describes how one quantity changes in relation to another, often represented as the slope in a linear function.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, y decreases.

Front

What is a constant function?

Back

A constant function is a function where the output value (y) remains the same regardless of the input value (x).