You have seen examples of the graphs of piecewise functions in Exploration 1.3.1, graphs 11 and 12. The following exploration gives you the chance to work further with piecewise function. Write a formula for the piecewise function that will generate the graph below: Sketch the graph of the relation f(x) = {x + 3 if x lessthanorequalto -1 x^2 - 1 if -1 < x lessthanorequalto 2 1 if x greaterthanorequalto 2