Average Rate of Change

Front

What is the Average Rate of Change?

Back

The Average Rate of Change is a measure of how much a quantity changes on average over a specific interval. It is calculated as the change in the value of a function divided by the change in the input value.

Front

How do you calculate the Average Rate of Change?

Back

To calculate the Average Rate of Change between two points (x1, y1) and (x2, y2), use the formula: (y2 - y1) / (x2 - x1).

Front

What does a positive Average Rate of Change indicate?

Back

A positive Average Rate of Change indicates that the function is increasing over the interval.

Front

What does a negative Average Rate of Change indicate?

Back

A negative Average Rate of Change indicates that the function is decreasing over the interval.

Front

What is the significance of the Domain in a function?

Back

The Domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

If a function has a Domain of {-3, -2, -1, 0, 1, 2, 3}, what does this mean?

Back

It means that the function is defined only for the x-values -3, -2, -1, 0, 1, 2, and 3.

Front

What is the Average Speed?

Back

Average Speed is the total distance traveled divided by the total time taken.

Front

How can you determine the interval with the greatest Average Speed from a graph?

Back

Look for the interval where the slope of the graph is the steepest, as this indicates the greatest change in distance over time.

Front

What is the formula for calculating Average Speed?

Back

Average Speed = Total Distance / Total Time.

Front

What does it mean if the Average Rate of Change is zero?

Back

An Average Rate of Change of zero means that there is no change in the value of the function over the interval.