8 - Rate of Change practice

Front

What is the average rate of change of a function?

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 f(b) and f(a) are the function values at points b and a.

Front

What is another term for average rate of change?

Back

Slope.

Front

If Pete's height increased from 36 inches to 48 inches from age 3 to 5, what is the average rate of change?

Back

4 inches per year.

Front

A climber's altitude changes from 400 feet to 700 feet over 4 hours. What is the average rate of change?

Back

75 feet per hour.

Front

What does a steeper slope indicate in a graph?

Back

A steeper slope indicates a greater average rate of change.

Front

If a car travels 60 miles in 1 hour, what is its average rate of change in speed?

Back

60 miles per hour.

Front

What does a negative average rate of change indicate?

Back

It indicates that the function is decreasing over the interval.

Front

In the context of a graph, what does the slope represent?

Back

The slope represents the average rate of change of the dependent variable with respect to the independent variable.

Front

If the average rate of change is 0, what does that mean about the function?

Back

It means the function's value is constant over that interval.