Question

How would you graph the curve
f(x)=(x-1) (x-3) (x-4), f(x)=(x-1)(x-3) (x-4) (x+3), and f(x)= -2 (x-1) (x-3) (x-4)

Answer 1

I don't know whether you can understand my table or not, just give out.
Read and try to understand it.
I do f(x) = (x-1)(x-3)(x-4)
you have 3 roots: x =1, x =3, and x =4 at those points, f(x) =0
Now I break it into parts

Answer 2

Now, your f(x) is the product of those terms, I just combine them as product. Remember
(-) *(-) *(-) =(-)
(-)*(+)*(-) = (+)
and so on.
At each value make f(x) =0, they are 1, 3, 4