Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115

By definition we have that the average rate of change of the function is:

 Evaluating the function for the complete interval we have that the AVR is given by:

 Rewriting we have:

 Simplifying the expression we have:

 the average rate of change of the function defined by the table is:

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.