Question

determine between which consecutive integers the real zeros of each function are located f(x) = 3x3 – 10x2 + 22x – 4

Answer 1

We don´t need to determine the real zero of this function, but just to determine between which consecutive integers the real zero is located.
If we assume that x=0:
f(0)= 3*0-10*0+22*0-4 = -4
and for: x=1:
f(1)=3*1-10*1+22*1-4=3-10+22-4=11
It means that the real zero is between 0 and 1.