SOLUTION: 2. The curve f(x) = Ax^3 + Bx + 3 passes through the points F(1, -4) and G(-2,5). (i) For point F, write the equation that the curve must satisfy. (ii) Do the same for point G.

Algebra ->  Inverses -> SOLUTION: 2. The curve f(x) = Ax^3 + Bx + 3 passes through the points F(1, -4) and G(-2,5). (i) For point F, write the equation that the curve must satisfy. (ii) Do the same for point G.       Log On


   

Question 907762: 2. The curve f(x) = Ax^3 + Bx + 3 passes through the points F(1, -4) and G(-2,5).
(i) For point F, write the equation that the curve must satisfy.
(ii) Do the same for point G.
(iii) Solve (i) and (ii) simultaneously to find the values of A and B. Show how great you are at fractions by NOT using decimal approximations.
(iv) Use (iii) to write the equation of this curve.
(v) The curve passes through H(-1, d). Find d.
(vi) Find the average rate of change of the secant line HF.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You listed the instructions, so you need to follow those instructions. You will form two LINEAR equations in the variables, A and B, although they are coefficients of a CUBIC equation.

The listed instructions are clear enough for you to know what to do. Do not be afraid of them.