Question

Here is an interesting exponential function, Complete the table with integer values of x from 0 to 4. Then graph the function. Does the graph show exponential growth, exponential decay, or neither? Explain your thinking.

please show an example of your graph

Answer 1

The interesting exponential function you are looking for is
`1^(x)`

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
`1^(x)` 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.