Square Root Functions & Nonlinear Systems Extra Practice 1. Using transformations, describe how the parent function f(x) = Vx can be mapped to each of the following. Then, using interval notation, identify the domain and range of each function. a. f (x) = 2Vx+ 5 b. f (x ) = Vx+ 1 c. f(x) = Vx-2-3 2. The velocity of an object dropped from a height of h meters is given by the function V = 164.4h where h is the height in feet at which the object was dropped and I is the velocity of the object in feet per second. a. If an object is dropped from the roof of the Empire State Building 1,250 feet above the ground, how fast is the object traveling when it hits the street below? b. If the velocity of a dropped object is 100.23 feet per second, at what height was the object dropped? 3. Solve the following systems of equations. Write your answers as coordinates, (x,y). a. x+ 2 = x2 - 4x-4 b. x + 5 = 24 4. A local charity is holding an event to raise money. The income associated with the event can be modeled by the function: y = 80x - 5x2 and the operating expenses can be modeled by the function y = 250 - 5x, where x is the ticket price for the event. Use the graphing calculator. a. What ticket price would yield a maximum income? What is that income? b. What ticket price(s) would cause the charity to break even on the event? c. For what prices, would the income exceed the expenses, yielding a positive profit