A function is considered strictly monotonic if it consistently increases or decreases without any flat sections. This means that for any two points in its domain, if one point is greater than the other, the function's value at that point will also be greater (increasing) or less (decreasing). Strictly monotonic functions do not repeat any values, ensuring a unique output for each input. Strictly monotonic functions are important in various fields, including mathematics and computer science. They help in understanding the behavior of algorithms and in analyzing data trends. Examples of strictly monotonic functions include exponential functions and linear functions with a non-zero slope.