Find the rule that relates the x and y coordinates in each ordered pair of this set: {(-3,2), (-2,0), (-1,0), (1,6), (2,12),...}. The x coordinate in the set is always the first element in every ordered pair and the y coordinate is always the second element in every ordered pair.
For example, in this set: {(1,3), (2,4), (3,5), (4,6), (5,7),...}, it is clear that the second element can be obtained by adding 2 to the first element so the equation is: x+2=y.
2006-09-15 19:51:23 · 5 answers · asked by fictitiousness ;-) 2 in Science & Mathematics ➔ Mathematics
The general rule is:
y = a + bx + cx^2 +dx^3 + ex^4
2 = a-3b+9c-27d+81e
0 = a-2b+4c- 8d+16e
0 = a-b+c-d+e=a-3+1, a=2
6 = a+b+c+d+e
12 = a+2b+4c+8d+16e
2=-b+5c-35d+65e
0=-b+3c-7d+15e
12=4b-16d, 3=b-4d
6=2b+2d, 3=b+d
b=3, d=0
2=-3+5c+65e, 5=5c+65e
0=-3+3c+15e, 3=3c+15e
c=1,e=0
y=2+3x+x^2
2-9+9=2
2-6+4=0
2-3+1=0
2+3+1=6
2+6+4=12
2006-09-15 21:27:07 · answer #1 · answered by Helmut 7 · 2⤊ 0⤋
Try to use Lagrange Interpolation to find the function.
2006-09-16 03:01:55 · answer #2 · answered by ctyuang 1 · 0⤊ 2⤋
- 1 look like
2006-09-16 02:53:44 · answer #3 · answered by mightymouse 2 · 0⤊ 2⤋
theres a formula---
y-y1/x-x1=y2-y1/x2-x1.
put the values and u get the answer.
like:--y-2/x+3=0-2/-2+3
(y-2)(1)=(-2)(x+3)
y-2=-2x-6
y=2x-4.....................answers
2006-09-16 03:21:08 · answer #4 · answered by tonima 4 · 0⤊ 2⤋
you should use Regression method
2006-09-16 02:59:18 · answer #5 · answered by F M 1 · 0⤊ 2⤋