Part E Open the line segment rotation application. Line segment AB is a 90° rotation counterclockwise of line segment CD. Click the 90° counterclockwise button. Are line segments AB and CD the same? What does this mean about how a line segment changes when you rotate it?

Part F
Open the line segment reflection application. Line segment AB is a reflection of line segment CD across the x-axis. Click the reflect over x-axis button. Are line segments AB and CD the same? What does this mean about how a line segment changes when you reflect it?

Part G
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

For problems 7–10, state a reasonable domain for the problem statement, find the inverse function f –1(x), and identify the independent and dependent quantities of the inverse. 7. gary is jogging. the total distance he has traveled, in miles, can be estimated using the function f(x) = 9x, where x is his jogging time in hours. 8. camryn sells computers. she earns commission for her computer sales plus a fixed wage for each day she works. her daily earnings, in dollars, can be estimated using the function f(x) = 0.15x + 50, where x represents her computer sales in dollars. 9. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds,for0≤x≤10. 10. a rock band is selling tickets to a concert at a theater. the band earns money for each ticket sold, but has to pay some of the earnings to the theater. the total money earned by the band can be estimated using the function f(x) = 7.5x – 300, where x is the number of tickets sold.