Chapter 3.2, Problem 38E

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

Social Security An employee must pay Social Security tax up to a maximum wage that is subject to the tax. In 2016, an employee’s Social Security tax in dollars was determined by the piecewise linear function

$f\left(x\right)=\{\begin{array}{ll}62x\hfill & \text{if}0\le x\le 118.5\hfill \\ 7347\hfill & \text{if}x>118.5\hfill \end{array},$

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

Find the function values $f\left(0\right)$, $f\left(118.5\right)$, $f\left(400\right)$.

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