Part 2/5:
One of the key characteristics of an invertible function is that it must be one-to-one. This means that for every unique input ( x ), there must be a unique output ( y ). If a function fails this criterion, it cannot have a unique inverse.
The Importance of the Horizontal Line Test
To establish if a function is one-to-one, we utilize the horizontal line test. This test involves drawing a horizontal line across the graph of the function. If any horizontal line intersects the graph of the function at more than one point, it indicates that the function is not one-to-one.