Interpret and Construct a Piecewise-Defined Function a) In two well-expressed sentences, interpret the following piecewise-defined function that models
income in $ thousands for a vehicle salesperson as a function of the number of vehicles sold per
year:
f(x) = { 20+5(x – 40) •, *> 40
, 0 < x < 40
b) Write a piecewise-defined function for the income of an author (f(x)) who earns $10 for each book
sold (x) when the number of sales is less than or equal to 1000. If the number of sales is over
1000, then the author earns an $12 for each book sold over 1000. Begin by calculating the income
when no books are sold and when exactly 2000 books are sold. Confirm that your function is
correct for these values.