Linear vs Non-Linear Functions

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has a constant rate of change.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. It can have curves or varying rates of change.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

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

Front

What is the y-intercept in a linear function?

Back

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

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant difference in the y-values for equal intervals of x-values.

Front

What is an example of a linear function?

Back

An example of a linear function is f(x) = 2x + 3.

Front

What is an example of a non-linear function?

Back

An example of a non-linear function is f(x) = x^2.

Front

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

Back

A graph represents a linear function if it forms a straight line.

Front

What does it mean if a function has a constant rate of change?

Back

It means that for every unit increase in x, the value of y increases by a fixed amount.