# How do you graph, find the zeros, intercepts, domain and range of #f(x)=abs(x)+4#?

##### 1 Answer

The y-intercept is

The domain is all real numbers and the range is

#### Explanation:

How to Graph:

Luckily, this is a (somewhat) linear graph. Firstly, we should identify the

If you want a easier explanation, it's basically all x-values become positive. If you plug in 1 for x, it will equal 5 because 1+4=5. If you plug in -1, it will equal 5 again since the -1 becomes 1 due to the absolute value rule.

This becomes somewhat of an equation that looks like this

Zeroes:

As for the zeroes, there are none. This is because it's impossible for

For the y-intercept, plug in 0 for x then add four then you'll get y=4.

Domain/Range:

The domain is all real numbers, because any number can be plugged in without getting a "error" or "undefined" answer. (An example of undefined is plugging in 0 for a denominator in a fraction.)

The range is