Use Simpson's Rule to approximate an integral

[beanryu]

Use Simpson's Rule and all the data in the following table to estimate the value of the integral

2
S ydx
-4

S=integral sign

x -4 -3 -2 -1 0 1 2
y 0 -4 -8 -9 1 5 -7

 

[beanryu]

the function provided doesn't even fit with the data in the table

wut the hell is this?!

 

[HallsofIvy]

Try reading the problem again. "The function provided doesn't even fit with the data in the table" isn't true- they don't give you a function except through the data.
You are asked to use Simpson's rule to integrate
\int_{-4}^2 f(x)dx
where f(x) is given by the table. I just substituted "f(x)" for "y" because I think you were mistaking it for "x".