A piecewise function f (x) is defined by f of x is equal to the piecewise function of 3 to the power of the quantity x plus 1 end quantity minus 2 for x is less than or equal to 1 and the quantity negative x squared plus x plus 2 end quantity over the quantity x squared minus 3 times x plus 2 end quantity for x is greater than 1 Part A: Graph the piecewise function f (x) and determine the range. (5 points)

Part B: Determine the asymptotes of f (x). Show all necessary calculations. (5 points)

Part C: Describe the end behavior of f (x). (5 points)