Final answer:
The equation that represents the function graphed on the coordinate plane is g(x) = |x-1| + 3.
Step-by-step explanation:
To determine which equation represents the function graphed on the coordinate plane, we need to analyze the characteristics of the graph and match them to the equation. From the given information, we know that the function has a positive value at x = 3 and a positive slope that is decreasing in magnitude with increasing x. The equation that fits these characteristics is g(x) = |x-1| + 3.