1. Project 1 Lecture Notes

2. Table of Contents Graphing Functions & Trend Lines Demand, Revenue, Cost, and Profit Differentiation Integration Using Solver

3. Assignment Read course PowerPoint file: MBD 2 Proj1.pptx (Slides 1-20)

4. Graphing Functions 2 Methods for graphing used: − Blank Excel file with equally spaced data points (Plotting Points) − Using Graphing.xlsm file

5. Plotting Points Start with blank Excel file Generate 2 columns of data - one column of x-values - one column of function values

6. Plotting Points To generate the x-values (in a column) - Given the interval required - Given the number of points required

7. Plotting Points To generate the x-values - Subtract one from number of points needed - Divide interval length by this number - This is the length of each subinterval

8. Plotting Points To generate the x-values - Starting with left endpoint, increase by width of subinterval - This gives x-value of next point - Continue until you reach the right endpoint

9. Plotting Points To generate the function values (in a column) - Type function using an “=” - Use cell references to replace x

10. Plotting Points Graphing the function - Use XY-scatter - Use Smoothed Lines Without Markers - Label graphs whenever appropriate

11. Plotting Points Special values and functions - Type PI() - eType EXP() - Type SQRT()

12. Plotting Points Ex. Graph the function on the interval [0, 5] using a blank Excel file with 501 equally spaced points. Soln:

13. Plotting Points Graph:

14. Plotting Points Piecewise-defined functions - Use IF statement =IF(statement, rule 1, rule 2) - statement is a mathematical test - use rule 1 if the statement is true - use rule 2 if the statement is false - AND function can be used within IF statement Ex. AND(0 =A1) tests if A1 is between 0 and 3

15. Plotting Points Ex. Graph the function using a blank Excel file with 401 equally spaced points.

16. Plotting Points Creating a “plotting points” graph in Excel Insert, Scatter, Smooth lines Right click on plot area Left click on select data Add data and format graph

17. Plotting Points Soln:

18. Plotting Points Can graph multiple functions simultaneously Ex. Graph the functions using a blank Excel file with 701 equally spaced points.

19. Plotting Points Soln:

20. Graphing.xlsm Graphing utility to plot one function No cell references used Function is typed using the variable x Can use parameters (constants) s, t, u, v, or w

21. Graphing.xlsm

22. Ex. Graph the function on the interval [0, 5] using Graphing.xlsm Ex. Use Graphing.xlsm to graph the functions on the interval [-4, 4] using the parameter s = 2, 3, 4, and 5.

23. Graphing.xlsm Ex. Graph the function Using Graphing.xlsm.