Question

Graphs of 3 functions are shown below. In two or more sentences, explain whether or not the inverse of each graph is a function.

Answer 1

The first and third graphs inverse will still be functions  (although the first is iffy as it is hard to tell if when any x values are equal, if there are equal x values it will not be a function because then there will be multiple y values for a single x value.  In simpler terms, if there is a truly horizontal line in that first graph, its inverse will not be a function as it will fail the vertical line test.)

The second graph will not be a function as each x value will have two y values, so it fails "the vertical line test".