1. Find the domain of the function f(x) =- x+2 V5-2x [2x -3, if x51 2. Graph the piecewise function f(x) = ( Vx, if x> 1 3. Use the graph to estimate the intervals where the function increases and decreases. Estimate the coordinates of the local max/min 4. Given f(x) =-Vx-2+1. a) State the toolkit function y = g(x) related to y = f(x). b) Describe the sequence of transformations leading from y = g(x) to y = f(x). c) Sketch toolkit function and all transformations on the same set of coordinate axis. 5. a) Find the inverse function for f(x) = 1 -3x. b) Check that fof' = f- of =x. C) Sketch both graphs on the same set of axis. d) Describe the relationship between the graphs of original and inverse functions