SITE-C teams: Lesson 22

Consider the function: f(x) = 12 - x - x^{2}

What is the area under this function and above the x-axis?

Turn on the **CASIO CFX-9850G** by pressing

Use the cursor arrows to highlight the GRAPH menu and press **EXE **or just press **5** when at the main menu screen.

In the Y1 slot enter 12 - X - X^{2} and press **EXE** to store it in memory.

Press **SHIFT** **F3** (V-Window) **F1** (INIT) and set the y-parameters as follows:

Ymin = -31 |
Ymax = 31 |
Yscale = 5 |

Press **EXIT** to return to the function list. Make sure that no other Y-slot is highlighted, i.e. selected for drawing. Press **F6** (DRAW) to see the graph.

To find the roots press **SHIFT F5** (G-Solv) **F1** (ROOT). The first root is x = -4. Press the right cursor arrow to obtain the second root. It is x = 3.

To find the area between the x-axis and the curve press **SHIFT F5** (G-Solv) **F6** ( |> ) **F3** (ò
dx) Use the right cursor arrow to move the cross hairs to ( -4, 0 ) and press **EXE** marking the lower bound of integration. Use the right cursor arrow again to move the cross hairs to ( 3, 0 ) and press **EXE** to mark the upper bound of integration and to calculate the numerical integral. It is 57.166666666667.

Press **EXIT** and use the up or down cursor arrow to highlight Y1. Press **F1** (SEL) to de-select it.

What is the value of ò
_{-3}^{-1} x^{3} - 8 x + 10 ?

Use the cursor arrows to move to slot Y2 and enter X^3 - 8 X + 10** ** and press

Press **F6** (DRAW) to see the graph of the function.

Press **SHIFT F5** (G-Solv) **F6** ( |> ) **F3** (ò
dx). Use the right cursor arrow to move the cross hairs to ( -3, 7 ) and press **EXE** marking the lower bound of integration. Use the right cursor arrow again to move the cross hairs to ( -1, 17 ) and press **EXE** to mark the upper bound of integration and to calculate the numerical integral. It is 32.

Press **EXIT** **MENU**.

Turn off the **CASIO CFX-9850G** by pressing