The document finds the points of intersection between the functions 4x^2 and 2x^3. It does this by setting the functions equal to each other and solving for the roots of the equation. Through factoring and simple algebra, it determines that the points of intersection are x=0 and x=2. It then verifies this by plugging a value between 0 and 2 into each function.

1. Solution!

2. A.I.) Exploration of Functions
4x2 = 2x3 ­­ find points of intersection
*To find the points of intersection, make each function equal to
each other to find points where each function co­exist

3. A.I.) Exploration of Functions
4x2 = 2x3 ­­ find points of intersection
0 = 2x3 ­ 4x2 ­­ solve for the roots
0 = 2x2 (x ­ 2) ­­ factor out 2x2
x = 0, 2 ­­ points of intersection
*Through simple algebra, we find two points of intersection.
These points are the boundaries of which the area coincides.