What are the zeros of the function? Graph the function.

Question

explainitlikeimfive · Answer

attachment

whpalmer4 · Answer

If a function has a zero at x=c, then f(c)=0

The answers are trying to confuse you, but don't be fooled!

whpalmer4 · Answer

You have $$(x-3)(x+3)(x-4)=0$$your zeros will be the solutions of$$x-3=0$$$$x+3=0$$$$x-4=0$$

explainitlikeimfive · Answer

I do believe I'd pick C.

whpalmer4 · Answer

Hmm, are you sure about that?  Compare the graph with the list of zeros...

whpalmer4 · Answer

Remember, the zeros are the x coordinates of the places where the function touches or crosses the x-axis...

explainitlikeimfive · Answer

Switching to D

whpalmer4 · Answer

Come on, don't guess, you can get it right the first time from what I've told you!

whpalmer4 · Answer

D is a particularly bad guess, as it contains a 2 and your equation has no factors involving either -2 or +2

explainitlikeimfive · Answer

I think I understand it now, thanks.

whpalmer4 · Answer

Do you see why C was not correct?

explainitlikeimfive · Answer

Yes

whpalmer4 · Answer

You always subtract the zeros when forming the factors, so a zero of 2 turns into a factor of (x-2).  Zeros on the right side of the origin have negative numbers as factors.