Chapter 3.2, Problem 37E

Work these exercise. (See Examples 2, 3, 10, and 11.)

Mdeicare An employee must pay Medicare tax at a base rate plus an additional Medicare tax if wages exceed a certain threshold. For a single person in 2016, the employee’s Medicare tax in dollars was determined by the piecewise linear function

$f\left(x\right)=\{\begin{array}{ll}14.5x\hfill & \text{if}0\le x\le 200\hfill \\ 2900+23.5\left(x-200\right)\hfill & \text{if}x>200\hfill \end{array},$

where x is the employee’s Medicare wages in thousands of dollars. (Data from: Internal Revenue Service.)

Find the function values $f\left(0\right)$, $f\left(200\right)$, $f\left(400\right)$.

Graph this function for wages up to $400,000 (that is, $0\le x\le 400$.