3.2 Linear vs. Nonlinear

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its graph can be curved or have varying slopes.

Front

How can you identify a linear function from its graph?

Back

A linear function can be identified by its straight line graph, which has a constant slope.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function can be identified by its curved graph or a graph that does not have a constant slope.

Front

What is discrete data?

Back

Discrete data consists of distinct, separate values or counts, such as the number of students in a class.

Front

What is continuous data?

Back

Continuous data can take any value within a given range, such as height or temperature.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of y with respect to x, represented by 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

What is the equation of a linear function?

Back

The equation of a linear function is typically written in the form y = mx + b.

Front

What is an example of a real-life situation that can be modeled by a linear function?

Back

The cost y of x pounds of coffee can be modeled by a linear function, where the cost increases at a constant rate.