Question

Is the Exponential Function always represented as e^x? Or is this only in special cases. And does the graph of these functions show rapid or smooth consistant growth?

Answer 1

a line is smooth; a curve is chaotic ....

Answer 2

the rest of the question i am unsure about, i wanna say yes; the the exp(x) function is e^x

Answer 3

http://www.wolframalpha.com/input/?i=exp%285%29

Answer 4

it shows rapid growth. and yes, it is always represented as e^x although e is variable and is to the power of x. So e is multiplied x times by, itself, thus e. other examples can be 4^2 = 16 or 5^3 =125 -->(25*5)