We will plot these ordered pairs on a coordinate plane and connect them to get the graph of g(x). Notice that g(x) is a transformation of the parent function f(x)=|x|, which is V-shaped. Thus, g(x) will also be a V-shaped graph.
The domain of an absolute value function will usually be all real numbers, unless specific restrictions have been imposed upon the function.
Domain: -∞ < x < ∞
To find the range of an absolute value function, we need to think about where the vertex of the function is located. Because this type of function will always have the same basic V-shape, the y-value of the vertex is the minimum or maximum of the range. The minimum of the given function is 3 and then it will continue increasing indefinitely.
Range:3 ≤ g(x) < ∞
