Linear Vs. Nonlinear (Tables, Equations, Graphs)

Front

What is a linear function?

Back

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 table of values?

Back

A linear function will have a constant rate of change, meaning the difference in y-values divided by the difference in x-values will be the same for all pairs of points.

Front

What does the slope of a linear function represent?

Back

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

Front

What is the y-intercept in a linear equation?

Back

Front

What is the general form of a linear equation?

Back

Front

How can you tell if a graph represents a nonlinear function?

Back

A graph represents a nonlinear function if it curves or has bends, indicating that the rate of change is not constant.

Front

What is an example of a nonlinear equation?

Back

Front

What is the significance of the coordinates in determining if a function is linear?

Back

If the coordinates of a function can be connected with a straight line without lifting the pencil, it is a linear function.

Front

What does it mean if a set of coordinates does not represent a function?

Back

If a set of coordinates does not pass the vertical line test (where a vertical line intersects the graph at more than one point), it is not a function.