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 the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What are discrete and continuous domains?

Back

Discrete domains consist of distinct, separate values (like integers), while continuous domains include all values within a range (like real numbers).

Front

What is an example of a nonlinear equation?

Back

An example of a nonlinear equation is y = x^2, which represents a parabola.

Front

What is an example of a linear equation?

Back

An example of a linear equation is y = 2x + 3, which represents a straight line.