Let a function be defined by .

Find the average rate of change of the function over .

Suppose we can model the profit, , in dollars from selling items with the equation .

Find the average rate of change of the profit from to .

If the average rate of change of between and , where , is positive, then what can be said about on that interval?

If the average rate of change of between and , where , is negative, then what can be said about on that interval?

Let the profit, , (in thousands of dollars) earned from producing items be found by .

Find the average rate of change in profit when production increases from 4 items to 5 items.

Suppose that a customer purchases dog treats based on the sale price , where , where .

Find the average rate of change in demand when the price increases from $2 per treat to $3 per treat.

Find the average rate of change of over the interval from to .

Find the average rate of change of over the interval from to .

Why can we make an educated guess that the average rate of change of , between and would be ?

Find the average rate of change of between and .