Fill in the blank: A graph in the x-y plane represents a function if the graph passes the (horizontal line test, vertical line test) True or False: There is a function on the real line, R, that does not have a limit anywhere. = A function f(x) with f(3) -10 is continuous at x = 3 if, and only if, f(x) has a limit at x = 3 and the limit at x 3 is 3, -10, 10, 13, 7 A function f(x) is continuous at x = c if, and only if, f(x) has a limit at x = c and the limit lim f(x) = 2-c A function f(x) is continuous at a point cif, and only if, for every € > 0 there is d > 0 such that whenever there is an x with |x – c < d, then Yes or No: Can a function f(x) have two limits at a point x = c? A point x = c is said to be a root (or a zero) of a function f(x) if, and only if, f(c) = 0. Which theorem must we apply in order to claim that the function x4 + x – 3 has a root in the interval [1, 2]?