# rate of change and function domain & range

1. Taxes

Along with incomes, people's charitable contributions have steadily increased over the past

few years. The table below shows the average deduction for charitable contributions

reported on individual income tax returns for the period 2007 to 2012. Find the average rate

of change between 2009 and 2011.

Year Charitable Contributions

2007 $1980

2008 $2350

2009 $2490

2010 $2760

2011 $3060

2012 $3120

2. Given the following piecewise function:

(x) = -x +1 for x < 0

-1 for 0 ≤ x ≤ 3

-2x for x > 3

a. Find the domain.

b. Find the range.

c. Find the intercepts.

d. Is f continuous on its domain? If not, state where f is discontinuous.

e. Graph the function.

https://brainmass.com/math/computing-values-of-functions/rate-change-function-domain-range-542127

#### Solution Summary

In first problem average change in data value over different time periods is estimated. In second problem, domain range etc estimated for given function.