Average Rate of Change

Front

What is the average rate of change?

Back

Front

How do you calculate the average rate of change for the function f(x)=2x^2+3x-1 from x=1 to x=2?

Back

Front

What is the average rate of change of y = 2(3)^x at the interval [2, 4]?

Back

Front

Which has a greater average rate of change: A or B?

Back

To determine which has a greater average rate of change, compare the slopes of the lines representing A and B over their respective intervals.

Front

What is the formula for average rate of change?

Back

Front

How do you find the average speed from a distance-time graph?

Back

The average speed is found by calculating the slope of the line segment on the graph, which represents the change in distance over the change in time.

Front

What does a steeper slope on a distance-time graph indicate?

Back

A steeper slope indicates a greater average speed during that interval.

Front

If a function is increasing, what can be said about its average rate of change?

Back

If a function is increasing, its average rate of change is positive over that interval.

Front

If a function is decreasing, what can be said about its average rate of change?

Back

If a function is decreasing, its average rate of change is negative over that interval.

Front

What is the average rate of change of a constant function?

Back

The average rate of change of a constant function is 0, as there is no change in the function's value.