The interesting exponential function you are looking for is [tex] 1^{x} [/tex]
The fact about 1 is that, no matter to which power you raise it, answer will always be 1. Because 1 multiplied by 1 stays equal to 1.
So the graph of [tex] 1^{x} [/tex] will be a straight line parallel to x-axis and crossing the y-axis at y = 1, as shown in picture below.
As seen from the graph, the function is neither increasing nor decreasing, instead it is constant.
