The following is an example of a piecewise function: Since piecewise functions are made up of "pieces", one property we are interested in is continuity. For example, consider the following: x 2 when x ≤ 1 f(x) = 2x -3 when x > 1 Is this function continuous? Check f(1) of both "pieces": Example: For what value of b is f(x) continuous? |x| when x ≤ -2 f(x) = √x + b when x > -2 Check f(-2) for both "pieces": Piecewise Functions