Question

The ordered pairs represent a function (0,-1). (1,0), (2,3), (3,6), and (4,15)

a. graph the ordered pairs and describe the pattern. Is the function linear or nonlinear?

I said nonlinear.

b. Write an equation that represents the function.

I don't know what the slope would be, what I have right now is
y=?-2

Thank you!

Answer 1

certainly not linear, slopes between pairs of points would have to be the same, --- they are not.

Took differences in the y values up to the fourth difference columns. No constant

so , no polynomial up to 4th degree.
Not even Wolfram found an equation, when to least-fit equations.

http://www.wolframalpha.com/input/?i=equation%7B+(0,-1),+(1,0),+(2,3),+(3,6),++(4,15)%7D