1. f(x) = (4 — x²)5

The graph of f(x)=2(14)x20 is shifted downward 4 units, and then shifted left 2 units,stretched verticallyby a factor of 4, and reflected about the x-axis. Whatis the equation of the newfunction, g(x) ? State itsy-intercept, domain, and range.

To graph the function f, we plot the points (x,) in a coordinate plane. To graph f(x)=x22, we plot the points (x,). So the point (3,) is on the graph of f. The height of the graph of f above the x-axis when x=3 is _______. Complete the table, and sketch a graph of f. x f(x) (x,y) 2 1 0 1 2

The ad shown at left was in the local newspaper. Suppose you are hired for the job described in the ad. a. If x is the number of hours you work per week and y is your weekly gross pay, write the equation for y. (Be sure to include any restrictions on the variable x.) b. Use the function rule you have written in part (a) to complete Table 5. c. Construct a line graph from the information in Table 5. d. State the domain and range of this function. e. What is the minimum amount you can earn in a week with this job? What is the maximum amount?