Functions question need help (1 Viewer)

[mr_tizzle]

Find an expression for a cubic function f if f(1) = 12 and f(−1) = f(0) = f(2) = 0.

 

[Carrotsticks]

It has roots -1, 0 and 2 since f of those values is equal to zero.

So our cubic is in the form f(x)=K(x)(x+1)(x-2).

But we are also given that f(1)=12, so by substituting that in, we can solve for K and we are done.