However because they also make up their own unique family they have their own subset of rules. Figure 333 The graph of Ex ex is between y 2x and y 3x. Just as with other parent functions we can apply the four types of transformationsshifts reflections stretches and compressionsto the parent function displaystyle fleft xright b x f x b.
The variable is the exponent.
Basic Exponential Function. Yb g x The derivative of an exponential function would be determined by the use of the chain rule which was covered in the previous section. The parent exponential function fx bx always has a horizontal asymptote at y 0 except when b 1. The order of operations still governs how you act on the.