Problems: Use Excel to complete the following problems.

1. Plot the function 𝑓(𝑥)= 𝑥3−12𝑥+1 over the domain [-5, 5] using a step-size of one unit. Be sure to include axis labels and a descriptive title.

2. Use Excel to find the sum of the first positive integers. (Hint: Excel has a built-in Sum command.)

x f(x) = x^3-12x+1

-5 -64

-4 -15

-3 10

-2 17

-1 12

0 1

1 -10

2 -15

3 -8

4 17

5 66

3. Use Excel to iterate the following discrete dynamical system and find 𝑝150. Create a scatter plot of your results. Be sure to include axis labels and a descriptive title.

𝑝0=15000, 𝑝𝑛=0.95𝑝𝑛−1

CONCLUSION:

The following Excel activity allows the student to study the different features of Excel

Microsoft application which helps the iterations and precision of data being computed

with graphical representation. To use formula efficiently, there are three important

considerations that you need to understand. Calculation is the process of computing

formulas and then displaying the results as values in the cells that contain the formulas.

To avoid unnecessary calculations, Microsoft Office Excel automatically recalculates

formulas only when the cells that the formula depends on have changed. This is the

default behavior when you first open a workbook and when you are editing a workbook.

However, you can control when and how Excel recalculates formulas.

Iteration is the repeated recalculation of a worksheet until a specific numeric condition is

met. Excel cannot automatically calculate a formula that refers to the cell — either

directly or indirectly — that contains the formulaPrecision is a measure of the degree of

accuracy for a calculation. Excel stores and calculates with 15 significant digits of

precision. However, you can change the precision of calculations so that Excel uses the

displayed value instead of the stored value when it recalculates formulas.

Hence, excel deliberately provide an exact iteration and presented a precise data. This

will only possible if the user know how to manipulate the different functions of the Excel

application.