The Graph Domain And Range Of A Logarithmic Function
The range of f is given by the interval.
The graph domain and range of a logarithmic function. A logarithmic function will have the domain as 0 infinity. The graph of a logarithmic function passes through the point 1 0 which is the inverse of 0 1 for an exponential function. The domain of the function is x 0 or 0 infty the range of the function is all real numbers or infty infty when graphing a logarithmic function it can be helpful to remember that the graph will pass through the points 1 0 and b 1.
The graph of a logarithmic function has a vertical asymptote at x 0. Function f has a vertical asymptote given by the vertical line x 0. We first start with the properties of the graph of the basic logarithmic function of base a f x log a x a 0 and a not equal to 1.
Note that the logarithmic functionis not defined for negative numbers or for zero. The graph of the function approaches the y axis as x tends to but never touches it. Here we may think that if the base is not 10 what could be the range of the logarithmic functions.
The range of a logarithmic function is infinity infinity.