When looking at a rational function, Bella and Edward have two different thoughts. Bella says that the function is defined at x = −1, x = 2, and x = 4. Edward says that the function is undefined at those x values. Describe a situation where Bella is correct, and describe a situation where Edward is correct. Is it possible for a situation to exist where they are both correct? Justify your reasoning.

This is what I have

These are the roots that make up the function
(x+1)(x−2)(x−4)

Question

When looking at a rational function, Bella and Edward have two different thoughts. Bella says that the function is defined at x = −1, x = 2, and x = 4. Edward says that the function is undefined at those x values. Describe a situation where Bella is correct, and describe a situation where Edward is correct. Is it possible for a situation to exist where they are both correct? Justify your reasoning.

This is what I have 

These are the roots that make up the function
(x+1)(x−2)(x−4)

tkhunny · Answer

Well, start describing.

Here's a rational function that is defined everywhere.  f(x) = (x+1)(x−2)(x−4) 
Here's a rational function that is defined at none fo the 3.  g(x) = 1/[(x+1)(x−2)(x−4)]

No need to overthink it.

anonymous · Answer

Wow. BOOOOOOOM (mindblown)
Thanks :)