Question

identify the function family to which g belongs.
g is a(n) \boxed{} function.

Explanation:

The graph of function $g$ has a V-shape, which is the defining characteristic of absolute value functions, a type of piecewise linear function with the form $g(x)=|x + h| + k$ (here, $h=-1, k=0$, so $g(x)=|x - 1|$). This shape and structure place it in the absolute value function family, a subset of piecewise linear functions.

Answer:

absolute value