Calculus - Unit 0 Warm Ups/Review Problem Set 1. After being dropped from the top of a tall building, the height of an object is described by y = 400 - 16t, where y is measured in feet and t is measured in seconds. a. How many seconds did it take for the object to reach the ground, where y = 07 b. How high is the projectile when t = 2, and (approximately) how fast is it falling? 2. If P (x) = 3(x + 1)(x - 2)(2x - 5), then what are the x-intercepts of the graph of y = P(x)? Write an equation of a function whose graph intercepts the x-axis only at -2, 22/7, and 8. 3. The x-intercepts of y = f(x) are -1, 3, and 6. Find the x-intercepts of a. y = f(2x) b. y = 2f(x) y = f (x + 2 ) d. y = f(mx) e. Compare the appearance of each graph to the appearance of the graph y = f(x)