Final answer:
The purpose of using a graphing calculator is to visualize all possible solutions of a system, which helps in understanding and solving mathematical problems. They display intersections of equations graphically and can also calculate exact solutions but the primary purpose is visualization.
Step-by-step explanation:
The purpose of using a graphing calculator to view all solutions of a system is c) To visualize all possible solutions. Graphing calculators are powerful tools that allow students to represent equations graphically, which makes it easier to understand and solve complex mathematical problems. Instead of calculating solutions by hand, which can be time-consuming and error-prone, a graphing calculator can quickly display graphs representing systems of equations, allowing you to see where the lines or curves intersect, thereby identifying the points that represent all possible solutions.
Further, while a graphing calculator can help to estimate solutions graphically, it can also be used to calculate exact solutions numerically, which is not the primary purpose stated in the options provided. Overall, graphing calculators serve as an aid in both visualizing the relationships between variables and finding precise solutions, which is highly beneficial in educational settings.