Linear vs Non-Linear

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 its graph?

Back

A linear function's graph will always be a straight line, regardless of its position on the coordinate plane.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function's graph will show curves, bends, or changes in direction, indicating it is not a straight line.

Front

What is the general form of a linear equation in two variables?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function; it indicates how much the y-value changes for a unit change in the x-value.

Front

What is the y-intercept in a linear function?

Back

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function can have a slope of zero, which means it is a horizontal line and the output value remains constant regardless of the input.

Front

What is an example of a nonlinear function?

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Front

What is the difference between a linear and a nonlinear relationship?

Back

A linear relationship has a constant rate of change and can be represented by a straight line, while a nonlinear relationship has a variable rate of change and cannot be represented by a straight line.