Exponential Functions

Exponential Functions are quite frankly not emphasized in society for how impactful it can be. An exponential function is a function in which the value is raised by the power of the number. For example, f(x)=3 to the x power, is an exponential function. Here's another example that exponential functions can be represented in quite a fiction way. Every time someone yawns, 5 more people yawn in response, this problem happens in the span of eight seconds. If x equals the amount of seconds and y equals the people, it is clear that if you plugged in a large x-value, you would receive an extremely high y-value. For instance, once 100 second passes, 545,915,033 people are now yawning. Think of it like an unstoppable virus, it spreads rapidly and intensely fast. If this were to be represented in a graph, it would look like this.

The function can usually be expressed with the following equation. y=number^x. But what determines the graph to become thinner is how much higher the initial number is. Which function would look more like a straight line when graphed, y=10^x or y=100^x? The answer is y=100^x power as the first equation would be (10)(10) if the constant is in the power of two, but the second equation would be (100)(100). As it is evident, the outcome of an exponential function will most of the time produce a high number because of how intensely the number grows when x is changed.