rate of change and function domain & range
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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.
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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.
Education
- BEng, Allahabad University, India
- MSc , Pune University, India
- PhD (IP), Pune University, India
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