How do you graph, find the zeros, intercepts, domain and range of #f(x)=abs(x)+4#?
The y-intercept is
The domain is all real numbers and the range is
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
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.
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