Exponential function calculator
Calculator for common operations related to exponential function.

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Some facts

  • Exponential function is a function that can be presented in the form:
    y=ax y={ a}^{ x}
    where:
    • yy - function value (the function value at single point x, often marked as f(x)),
    • xx - function argument (called also independent value),
    • aa - base of the exponential function.

  • A special case is the exponential function of the base e (→ see the number e):
    exp(x)=ex exp(x)={ e}^{ x}
  • The exponential function with the base e is often denoted as exp (x), which we read as exponent of x.
  • The inverse function for the exponential one is logarithmic function. In particular for the function exp(x) (the base is number e) the inverse function is natural logarithm.
  • The exponential function has no zero poins. Its all values ​​are located above the OX axis (all function values are positive).
  • Depending on the base a, we can distinguish three scenarios:
    • base is less than one (a <1) - function is decreasing,
    • base is greater than one (a > 1) - the function is inreasing,
    • base is equal to zero (a = 0) - the function is reduced to constant function.

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