Jason and his team were working on finding the points of intersection of f(x) = 2x -5x + 6 andg(x) = 2x-x+ 30. He suggested,

Jason and his team were working on finding the points of intersection of f(x) = 2x² -5x + 6 andg(x) = 2x²-x+ 30. He suggested, "Maybe we could start by looking at the graphs of thefunctions."a. Use your graphing calculator to help you graph f(x) and g(x).b. Adjust the viewing window so that you can see all of the points of intersection. How accuratelycan you approximate the coordinates of these points by looking at the graph? Give it a try.c. Use the "Trace" feature to get a more accurate approximation of each of the points.d. With your team, explore the [CALC] feature of your TI-83/84+ graphing calculator. Can you finda way to make the graphing calculator calculate your points of intersection for you? How accurateare your results? Be prepared to share your method to the class.