Find the particular equation of the cubic function that contains (-2,-35), (1,7), (2,9), and (3,25)

Answer 1

sheesh! What a lot of busy work.

Let y = ax^3 + bx^2 + cx + d

-8a + 4b - 2c + d = -35
a + b + c + d = 7
8a + 4b + 2c + d = 9
27a + 9b + 3c + d = 25

solve by your favorite method. Mine is wolframalpha :-)

(a,b,c,d) = (2,-5,3,7)

y = 2x^3 - 5x^2 + 3x + 7