5. Given the graph of the function f (x) shown below, sketch the graphs of 1) f ( x + 1 ) 2) f(x ) - 2 3) f(-x) (sketch part 1-3 on the first graph) 4) - f(x ) 5) 2f(x) 6) f(1/2 x) (sketch part 4-6 on the second graph) 6 5 R(x) n(x) - NWD - NWA -3 2 3 4 5 7 8' X -3 -2 -1 1 2 3 4 5 6 7 8 X -1 -3 A function is defined as f (x) = -(x-5)- Find its inverse. Sketch the graph of f (x) and its inverse on the same axes. c) Is the inverse a function? Explain. d) Restrict the domain of f (x) so that the inverse is a function. e) In how many ways can you restrict the domain so that the inverse is a function? f) In how many ways can you restrict the domain so that the inverse is NOT a function