Question

What polynomial has a graph that passes through the given points? (-2, 2) (-1, -1) (1, 5) (3, 67)

Answer 1

There are actually an infinite number of polynomials that could satisfy these points.

Answer 2

do you want interpolation ?
what is the degree

Answer 3

you have 4 point so you can get f(x)=ax^3+bx^2+cx+d put all the point in it and solve for a,b,.. to find the function that you need

Answer 4

if you want a 3 degree polynomial function it is the way