Graph each piecewise function. Then identify the properties.

Answer:The domain is:x: (-∞, 0] U (0, ∞)The range isy: [0, ∞)Step-by-step explanation:These types of functions are known as piecewise functions. It has two pieces of functions, you must graph both pieces for each interval.First, graph:y = -x        for x from -∞ to x = 0Note that y = -x is the equation of a negative slope line = -1 that passes through the originSecond, graph:y = x       for x from x = 0 to ∞Note that y = x is the equation of a positive slope line = 1 that passes through the origin.The graph of this function is shown in the attached image. Note that it matches the absolute value graph of x. y = | x |In this function y it is always positive, and x can be any real number.Therefore the domain is:x: (-∞, 0] U (0,∞)The range is:y: [0, ∞)