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Why The exponential function x ex is continuous but not uniform continuous?

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Every continuous function is integrible but converse is not true every integrable function is not continuous?

That's true. If a function is continuous, it's (Riemman) integrable, but the converse is not true.


What kind of distribution is exponential distribution?

Exponential distribution is a function of probability theory and statistics. This kind of distribution deals with continuous probability distributions and is part of the continuous analogue of the geometric distribution in math.


Can a exponential function be discrete or continuous?

Exponential functions are typically considered continuous because they are defined for all real numbers and have a smooth curve. However, they can also be represented in a discrete form when evaluated at specific intervals or points, such as in the context of discrete-time models. In such cases, the function takes on values at discrete points rather than over a continuous range. Thus, while exponential functions are inherently continuous, they can be adapted to discrete scenarios.


How does the exponential function differ from other functions?

Every function differs from every other function. Otherwise they would not be different functions!


Is the exponential distribution discrete or continuous?

Continuous


A function takes the exponential function's output and returns the exponential function's input?

A __________ function takes the exponential function's output and returns the exponential function's input.


Are continuous functions integrable?

yes, every continuous function is integrable.


What is the parent function for the exponential function?

The parent function of the exponential function is ax


Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.


Is every continuous function is bounded in C?

No. y = 1/x is continuous but unbounded.


A logarithmic function takes the exponential function's output and returns the exponential function's?

input