If a toy rocket is launched vertically upward from ground level its height h in feet after t seconds can be modelled by the function h (t)= 16t^2 +128t. Note that air resistance is neglected. a. What are the domain and range of this function? b. At what time will the rocket be 150ft off the ground? Write the equation to solve this, and then use an algebraic method to solve the equation. Leave the answers as exact values and show all work