Linear Vs. Nonlinear Flashcardizz

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 f(x) = 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 a 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 a 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 slope of a linear function?

Back

The slope of a linear function is the rate of change of the function, represented by 'm' in the equation f(x) = 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 f(x) = mx + b.

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 an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2, which represents a parabola.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if, as the x-values increase, the y-values decrease.