There are no points of discontinuity for exponential functions since the domain of the general exponential function consists of all real values!
Chat with our AI personalities
He memorized tables of functions, exponential functions, logarithmic functions, etc, ... try looking up "handbook of mathematical functions"
exponent of any number is more than 0
If the common ratio is negative then the points are alternately positive and negative. While their absolute values will lie on an exponential curve, an oscillating sequence will not lie on such a curve,
There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
A vertical asymptote can be, but need not be a discontinuity. In simple terms, the distinction depends whether the domain extends on only one side of the (no discontinuity) or both sides (infinite discontinuity). For example, there is no discontinuity in f(x) = 1/x for x > 0 On the other hand, f(x) = 1/x for x ≠0 has an infinite discontinuity at x = 0.