# How do you find the domain, x intercept and vertical asymptotes of #f(x)=log_10(x+1)#?

##### 1 Answer

here is what the graph looks like:

#### Explanation:

To start off I will explain what the domain, x-intercept, and vertical asymptotes are.

domain: the set of values of the independent variable(s) for which a function or relation is defined

http://www.mathwords.com/d/domain.htm

x-intercept: the x-coordinate of a point where a line, curve, or surface intersects the x-axis

https://www.merriam-webster.com/dictionary/x-intercept

vertical asymptote: invisible vertical lines that certain functions approach, yet do not cross, when the function is graphed

https://study.com/academy/lesson/vertical-asymptotes-definition-rules-quiz.html

The x-intercept in this function is 0. The coordinate is (0,0). To find the x-intercept, you put the function into your calculator and if it's on a whole number point you can easily tell where the point lies. If it is not a whole number point, you can use the settings on your graphing calculator to find the "zeroes".

The vertical asymptote is -1. To figure this out you look at the

The domain is similar to the vertical asymptote because you look at the same part of the function,

Since the vertical asymptote is "blocking off" the graph from being on the other side of -1, this means the domain is