given data that (0, 4.5) is the point at home plate at which the ball is hit, roughly 4.5 ft off the ground. Also, assume that the ball has hit a billboard 60 ft above the ground and 400 ft from home plate. e) Find the rate of change of the ball's height with respect to its horizontal distance from home plate. f) Find the point(s) at which the graph has a horizontal tangent line. Explain the significance of the points) 3. 3) Use REGRESSION to find a quartic function y = ax + bx + cx? + dx + that fits the data b) Graph the function over the interval [0, 500). c) Does the function closely model the given data? d) Predict the horizontal distance from home plate at which the ball would have hit the ground had it not hit the billboard e) Find the rate of change of the ball's height with respect to its horizontal distance from home plate. f) Find the point(s) at which the graph has a hori- zontal tangent line. Explain the significance of the point(s). 4. a) Although most calculators cannot fit such a func- tion to the data, assume that the equation y = 0,0015% 202,500 - X has been found using some type of curve-fitting technique. Graph the function over the interval [0, 500) b) Predict the horizontal distance from home plate at which the ball would have hit the ground had it not hit the billboard c) Find the rate of change of the ball's height with respect to its horizontal distance from home plate. (I) Find the point(s) at which the graph has a horizontal tangent line. Explain the significance of the points) 5. Compare the answers in Exercises 2(d), 3(d), and 4(b). Discuss the relative merits of using the quartic model in Exercise 3 with the model in Exercise + to make the prediction EXERCISES 1