Domain Of A Log Graph

Finding the domain of a logarithmic function.

Domain of a log graph. The range of a logarithmic function is infinity infinity. Displaystyle left 0 infty right 0. So the values of x must be greater than zero.

The domain of function f is the interval 0. Recall that the exponential function is defined as y bx for any real number x and constant b 0 b 1 where. Identify the domain of a logarithmic function.

Before working with graphs we will take a look at the domain the set of input values for which the logarithmic function is defined. Y log 10 x the argument is x. Eq eq logarithm functions are very slowly changing function it means a large change in argument leads to a small change in the output.

X 0 or 0 domain of y log x a in the logarithmic function. The graph is nothing but the graph y log x translated 3 units down. Therefore the domain of the above logarithmic function is.

Displaystyle left infty infty right. In the logarithmic function. The function is defined for only positive real numbers.

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. Before working with graphs we will take a look at the domain the set of input values for which the logarithmic function is defined. A logarithmic function will have the domain as 0 infinity.