Having identified that, the logarithmic function y = log b x is the inverse function of the exponential function y = b x. We deserve to now proceed to graphing logarithmic features by looking at the relationship in between exponential and logarithmic functions.

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But prior to jumping right into the topic of graphing logarithmic functions, it vital we *familiarize ourselves with the complying with terms*:

**The domain that a function**

The domain that a role is a collection of values you deserve to substitute in the role to get an agree answer.

**The range of a function**

This is the collection of values you acquire after substituting the values in the domain for the variable.

**Asymptotes**

There space **three types of asymptotes**, namely; **vertical**, **horizontal**, and also **oblique**. The upright asymptote is the worth of x where duty grows there is no bound nearby.

Horizontal asymptotes are constant values that f(x) ideologies as x grows without bound. Slope asymptotes are an initial degree polynomials which f(x) it s okay close as x grow without bound.

## How come Graph Logarithmic Functions?

Graphing a logarithmic role can be done by analyzing the exponential function graph and also then swapping x and also y.

*The graph of an exponential role f (x) = b x or y = b x consists of the complying with features:*

*By looking in ~ the above features one at a time, us can likewise deduce functions of logarithmic attributes as follows:*

### How to graph a straightforward logarithmic function?

A straightforward logarithmic duty is usually a function with no horizontal or vertical shift.

*Here room the steps for developing a graph that a basic logarithmic function.*

*Now let’s look at the adhering to examples:*

*Example 1*

Graph the logarithmic function f(x) = log in 2 x and state variety and domain that the function.

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Solution

Obviously, a logarithmic duty must have the domain and variety of (0, infinity) and also (−infinity, infinity)Since the duty f(x) = log 2 x is greater than 1, we will boost our curve from left to right, a presented below.We can’t see the upright asymptote at x = 0 due to the fact that it’s surprise by the y- axis.