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    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.