Answer:
Givens:
- [tex]f(x)=(x-3)(x-2)(x+1)[/tex]
We have a function with three roots, this means that it's a cubic function, and always increase without bound, this cubic functions increases at both ends, they don't have any restriction because they are polynomial functions. Also, we know that this function must intercept x-axis three times, because each solution represents an interception. So, these interceptions are at [tex]x=3;x=2;x=-1[/tex], because these three x-values makes f(x) = 0.
So, if we graph this function we would have a behaviour like the image attached. You can observe the interception we deducted from the expression and the increasing and decreasing
