All basic logarithmic functions pass through the point (1, 0), so we start by graphing that point.

Graphing a logarithmic function basic. The domain is infinite in both directions. This video provides detailed instructions for graphing a logarithmic function. Be sure to indicate that there is a vertical asymptote by using a.

Practice graphing a basic logarithmic function with practice problems and explanations. Graphs of basic logarithmic functions. This is a topic level video of graphing a logarithmic function:

Logarithms are simply another way to write exponents. We have already seen that the domain of the basic logarithmic function y = log a x is the set of positive real numbers and the range is the set of all real numbers. Since h = 1 , y = [ log 2 ( x + 1)] is the translation of y.

If h < 0 , the graph would be shifted right. To graph a logarithmic function \(y=log_{b}(x)\), it is easiest to convert the equation to its exponential form, \(x=b^{y}\). The logarithmic function, or the log function for short, is written as f(x) = log baseb (x), where b is the base of the logarithm and x is greater than 0.

We know that the graph has an asymptote at x = 0, so we plot it. Consider the graph of the function y = log 2 ( x). Review properties of logarithmic functions.

The power is in understanding. Including range, domain, general shape and finding simple points on the graph. Now that we have a feel for the set of values for which a logarithmic function is defined, we move on to graphing logarithmic functions.