Final answer:
Due to a typo, the exact function was unclear. Still, we discussed the general approach to sketching piecewise functions and linear equations, highlighting the importance of slope and y-intercept when graphing.
Step-by-step explanation:
The question provided seems to have a typo, and the correct mathematical function is not clear. However, assuming that we need to sketch piecewise functions and other lines based on given information such as y = (x - 2)/3, one might proceed by determining the specific values of x and y for each piece of the function, and then plotting these on a graph. Line equations such as y = -173.5 + 4.83x suggest linear relationships, where the slope and y-intercept can be directly identified.
To sketch a graph, you usually start by marking the y-intercept and then using the slope to find other points on the line. For a piecewise function, you would sketch different segments for different intervals of x, with each segment defined by its own linear equation or condition.