Use the definition of continuity to determine whether the function f (x ) graphed below is continuous at x = 5. Graph of f -10 -9 -8 -7 - 6 -5 -4 3 -2 DNE undefined Since lim f (ac) and lim f (x) it can be determined that lim f (ac) C-5 exists and is equal to Furthermore, it can be seen that f (5) Therefore, it can be stated that the function f (x ) is at x - 5 because