CGTC FAQs: Academic Support

An exponential function is a function that describes the relationship with a rate of change. This relationship for that can be described as leading to a growth or decay of a line that is graphed. The standard form of this function is f(x)=b^x with b=0 and b not equaling 1. Now lets break down the base, growth, range and graph. 

First we have our base which is represented with the variable B which in this case represents the constant in the function. Next, we have our x which represents the exponent of the function. Then we have our growth in which exponential functions can model both a rapid growth(B>1) along with a rapid decay(0<b<1). After that we have our range which represents as the output that always has to be positive so the range would be (0,infinitie). Lastly, we have the graph where it is a continuous line that crosses the y-axis at a certain point and has a horizontal asymptote along the x-axis.