COMPARE FUNCTIONS

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 rate of change is not constant.

Front

How do you determine if a function is linear or nonlinear?

Back

To determine if a function is linear, check if it can be expressed in the form y = mx + b. If it cannot, it is nonlinear.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of y with respect to x, represented by 'm' in the equation y = mx + b.

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, represented by 'b' in the equation y = mx + b.

Front

How can you find the rate of change from a table of values?

Back

To find the rate of change, calculate the difference in y-values divided by the difference in x-values between two points.

Front

What is the significance of a constant slope in a linear function?

Back

A constant slope indicates that the function has a consistent rate of change, meaning for every unit increase in x, y increases by a fixed amount.

Front

How can you tell if a table of values represents a linear function?

Back

If the differences between consecutive y-values divided by the differences in x-values are constant, the table represents a linear function.

Front

What is an example of a linear equation?

Back

An example of a linear equation is y = 3x + 2.

Front

What is an example of a nonlinear equation?

Back

An example of a nonlinear equation is y = x^2 + 1.