SOLUTION: Find a polynomial function whose graph passes through (-1,-11),(0,-6),(1,-3), and (2,4).

SOLUTION: Find a polynomial function whose graph passes through (-1,-11),(0,-6),(1,-3), and (2,4).

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Question 1057566: Find a polynomial function whose graph passes through (-1,-11),(0,-6),(1,-3), and (2,4).
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use a general cubic equation since you have 4 points.

(-1,-11)

1.
(0,-6)

2.
(1,-3)

3.
(2,4)

4.
Use the result from 2 on the 3 other equations,

5.
.
.

6.
.
.

7.
Add 5 to 7 and subtract 6 from 7 to get two new equations eliminating c.

8.
.
.

9.
Subtract 8 from 9 to eliminate b.

So then,

and

.
.
.

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