Question 2. (a) Let f(x) = x+2| + |x 1| + |x 2) on R. Write this function as a piecewise function, then draw its graph. Note: Your piecewise formula should look like this: 7 (b) Let h(x) be the function with the graph below. Evaluate the following three limits, where f is the function in part (a): lim_h(f(x)) 6 5 4 3 2 1 f(x) = lim h(f(x)), x1 y = h(x) x 2. lim h(f(x)), -2-+x 2-2+ (c) Write an equation of a function g(x) which has all six of the following properties. Sketch the graph of your g(x). (You can use a piecewise definition.) lim g(x) = 2 +I+x lim g(x) = 3 g(1) = 5 -I+x lim g(x) = 5 x 2+ lim g(x) = x 2 g(2) is undefined