Domain Of Log Graph

X 1 9 1 3 1 3 9 27 81 y log 3 x 2 1 0 1 2 3 4.

Domain of log graph. The range of y is 0. A logarithmic function will have the domain as 0 infinity. For example consider latex f left x right mathrm log 4 left 2x 3 right latex.

The domain of y is. So the graph of the logarithmic function y log 3 x which is the inverse of the function y 3 x is the reflection of the above graph about the line y x. When finding the domain of a logarithmic function therefore it is important to remember that the domain consists only of positive real numbers.

Before working with graphs we will take a look at the domain the set of input values for which the logarithmic function is defined. The graph of the function approaches the y axis as x tends to but never touches it. The domain of the function is the set of all positive real numbers.

X 0 or 0. That is the argument of the logarithmic function must be greater than zero. Review properties of logarithmic functions 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.

Y log 10 x then the domain is. Y log a x figure 3 15 graph of domain. The graph of a logarithmic function has a vertical asymptote at x 0.

For example instead of including marks at latex 0 1 2 latex and latex 3 latex a logarithmic scale may include marks at latex 0 1 1 10 latex and latex 100 latex each an equal distance from the previous and next. Note that the logarithmic functionis not defined for negative numbers or for zero. The domain of function f is the interval 0.