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.Com
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(39618) (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.
RELATED QUESTIONS
Obtain the equation of the curve y=ax^2+bx+c,using the following conditions
(i)... (answered by Fombitz)
The parabolic graph of the function f(x) = ax^2 + bx + c passes through the points with... (answered by ikleyn)
Determine the quadratic function f whose vertex is (2,-3) and passes through (3,-1).... (answered by lwsshak3)
Determine the quadratic function, f(x) = ax^2 + bx + c, whose vertex is (1, 8) and passes (answered by AnlytcPhil)
Find the function f(x)=ax^3+bx^2+cx+d for which f(0)=-2, f(1)=5, f(-1)=3,... (answered by MathLover1)
a curve (dy/dx) = x^1/2-x^-1/2 the curve passes through point (4,2/3)
•find the... (answered by Fombitz)
Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes... (answered by lwsshak3)
I'm Having hard time solving this homework. Can anyone help?
2. Calculate the... (answered by oscargut)
4. Determine the quadratic function,f(x)=ax˛+bx+c , whose vertex is (1, -2) and passes... (answered by solver91311)