Math 149 Week 3 Activity Questions\ Polynomials\ Heleina Staley Homework\ \ Directions: These activity questions are written to follow the activity and Excel sheets for the week. After the weekly class meetings, you should be able to answer these questions. Please complete the questions on an Excel sheet. Label the question numbers on the Excel. Save the Excel document and submit the assignment to Canvas.\ \ Discuss the similarities and differences between quadratic, cubic and linear functions. Be sure to discuss shapes of graphs, rates of change, domains and ranges.\ \ What is the domain of a function? Be sure to include a graphical and an algebraic description. Describe the domain of the quadratic function f(x) = -375x2 25x +312.\ \ \ Define polynomial function. \ \ Use the function P(n)= -1/500 n^2+52n-119326, where P is the profit in dollars and n is the number of cell phones manufactured.\ Use Excel to create a t-chart of this function.\ Use Excel to graph the function.\ Compare methods of graphing the above function (graphing calculator, Excel, by hand), list the pros and cons of using each. Which one is easier? Explain.\ Determine the domain and range keeping in mind what values make sense for this real world situation.\ Where on the graph is the function increasing? Where on the graph is the function decreasing?\ Choose 2 points on the graph. Find the rate of change between the two points using Excel. Explain what this means in the context of the situation.\ Choose 2 different from part (e) points on the graph. Find the rate of change between the two points using Excel. Explain what this means in the context of the situation.\ Choose a point on the graph. Find the instantaneous rate of change. Explain your steps and explain what the instantaneous rate of change of that point means.