Which graph represents the function below?

Answer:The correct answer is the third graph.Step-by-step explanation:The given function is a piecewise funciton which can be defined as a function determined by sub-functions. The result of these functions is a complex behaviour.In this case, the given function is represents by two linear functions, the first one crosses the origin and has a decreasing behaviour, we know this because its equation is[tex]y=-x[/tex]All linear function with no constant term must pass through the origin. Also, this function is defined to every value greater than -3, which means after x=-3, the function is decreasing and passes through the origin.The second sub-function is a increasing linear function which has y-intercept at 6.So, the correct answer is the third graph.Why?Because the second graph is not a function, it's just a relation. If you apply the vertical line test, it will intercept to points of the figure, which indicates it's not a function.Now, the first graph is a function but doesn't have the sub-functions that the piecewise function indicates.