SOLUTION: I can't draw the graph on here, but I am looking at a graph of function f with the points at (1,6),(3,-1.5), (5,-3), (6,-7). What would a graph or the points of f^-1 look like? I

Algebra ->  Rational-functions -> SOLUTION: I can't draw the graph on here, but I am looking at a graph of function f with the points at (1,6),(3,-1.5), (5,-3), (6,-7). What would a graph or the points of f^-1 look like? I      Log On


   



Question 860175: I can't draw the graph on here, but I am looking at a graph of function f with the points at (1,6),(3,-1.5), (5,-3), (6,-7). What would a graph or the points of f^-1 look like? I am not sure at all where to start with this?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the points! The curve could be lots of things. The arrangement seen on paper may suggest a cubic function, with negative leading coefficient, and maybe an inflection point between the x=3 and x=5 values.

With those ideas, start with y=ax%5E3%2Bbx%5E2%2Bcx%2Bd.
The four points will give you four equations, and the unknown, a, b, c, and d, are a count of four; so you will have a system of four equations to solve for a, b, c, and d.