n degree function

[red and white kop!]

the diagram shows the graph of y=x^n, where n is an integer. given that the curve passes between the points (2,200) and (2, 2000), determine the value of n.
i just dont get this question. what does it mean precisely to 'pass between the points', how is this interpreted algebraically? its just too random for me, any helpful hints?

 

[daon]

If it passes through those two points, its not a function of x. I think you have a typo.

 

[red and white kop!]

not through, between

 

[daon]

Hmm... If taken literally then I guess it would pass through (2,y) where 200<y<2000.

Testing values of n, that leaves three possibilities:
2^8=256
2^9=512
2^10=1024