Average Rate of Change

Front

What is the average rate of change?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

How do you calculate the average rate of change?

Back

Average Rate of Change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.

Front

What is the average rate of change from 0 to 2 seconds if the distance traveled is 5 feet?

Back

2.5 feet per second.

Front

What does a negative average rate of change indicate?

Back

It indicates that the function is decreasing over the interval.

Front

If a rocket is 1.5 miles above the Earth in 20 seconds and 8 miles in 120 seconds, what is the average rate of change in miles per second?

Back

0.065 miles per second.

Front

What is the average rate of change from 20 to 40 minutes if the gallons used are 40 and 60?

Back

-2 gallons per minute.

Front

What is the significance of the slope in a distance-time graph?

Back

The slope represents the average speed of the object.

Front

How can you determine the interval with the greatest average speed from a graph?

Back

Look for the steepest slope on the graph during the intervals.

Front

What is the average rate of change from x=0 to x=1 if the function values are 2 and 5?

Back

3.

Front

What does it mean if the average rate of change is zero?

Back

It means that the function's value does not change over the interval.