Business: Gambling Income Net income for Bally Technologies (a manufacturer of gambling...

Business: Gambling Income Net income for Bally Technologies (a manufacturer of gambling machinery) for recent years is shown at the top of the next column, where income is in millions of dollars.

The income is approximated by the function f(x) = 6x² - 16x + 109, where x stands for years since 2010.

a. Find using the definition of the derivative.

b. Evaluate the derivative at x = 0 and interpret the result.

c. Find the rate of change of the index in 2012.