A function has at least two or more inputs with the same output. The graph of the inverse is a function. True or false?

Answer 1

False. If a function has 2 or more input values (x values) with the same output value (y value), then the graph of the function fails the Horizontal Line Test (since a horizontal line will intersect the graph more than once). Therefore, the inverse is not a function. Another way of looking at it: the function is not one-to-one, so the inverse is not a function.