Problem:
Use the bisection method to find a root of the function

f(x) = x3 - 7 x - 4.

Visualization:
Using Microcalc:

1. Choose Intermediate Calculus from the initial menu and press .
2. Use the arrow keys to move to the menu item Bisection, press and .
3. At the prompt F(x) =, enter the function
x^3 - 7x - 4
4. and use the bounds
x0 = 0 x1 = 3
5. Use the arrow keys to move to Automatic Bisect. and press . You will see the following table:

``` m = Midpoint of [x0, x1]
+-------------------------------------------------------------------+
¦            x0 m = ½(x0 + x1)             x1   F(x0)   F(m)  F(x1) ¦
¦-------------------------------------------------------------------¦
¦   0.00000 000    1.50000 000    3.00000 000     < 0    < 0    > 0 ¦
¦   1.50000 000    2.25000 000    3.00000 000     < 0    < 0    > 0 ¦
¦   2.25000 000    2.62500 000    3.00000 000     < 0    < 0    > 0 ¦
¦   2.62500 000    2.81250 000    3.00000 000     < 0    < 0    > 0 ¦
¦   2.81250 000    2.90625 000    3.00000 000     < 0    > 0    > 0 ¦
¦                                                                   ¦
¦   2.81250 000    2.85937 500    2.90625 000     < 0    < 0    > 0 ¦
¦   2.85937 500    2.88281 250    2.90625 000     < 0    < 0    > 0 ¦
¦   2.88281 250    2.89453 125    2.90625 000     < 0    < 0    > 0 ¦
¦   2.89453 125    2.90039 063    2.90625 000     < 0    > 0    > 0 ¦
¦   2.89453 125    2.89746 094    2.90039 063     < 0    > 0    > 0 ¦
+-------------------------------------------------------------------+
```

6. If you want greater accuracy, use the arrow keys to move to Automatic Bisect. and press .