Introduction to Linear Functions

Front

What is a linear function?

Back

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction. It is calculated as the change in y divided by the change in x (rise over run).

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the y-intercept?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and others.

Front

How can you identify a nonlinear function from an equation?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (y) decreases.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input (x) and output (y) values.