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Mathematics 15 Online
OpenStudy (anonymous):

HELP!

OpenStudy (anonymous):

OpenStudy (mertsj):

What are zeros of a function?

OpenStudy (anonymous):

a member x of the domain of f such that f(x) vanishes at x

OpenStudy (mertsj):

If we put that in English the zeros are the values of x that make y= 0.

OpenStudy (anonymous):

you have to simpifly the top and bottom to see if anything cancles out. whateveer doesnt cancle out on the bottom is a zero

OpenStudy (mertsj):

So in this case, since we have a fraction, and a fraction is 0 if its numerator is 0, we are looking for the values of x that make the numerator 0.

OpenStudy (anonymous):

in other words you set the bottom equal to zero.

OpenStudy (anonymous):

all real numbers except -2 and -4?

OpenStudy (mertsj):

You have the right numbers but the wrong conclusion.

OpenStudy (mertsj):

Those are the ONLY numbers that are zeros

OpenStudy (mertsj):

Because they are the only numbers that cause the numerator to be 0

OpenStudy (anonymous):

-2 and -4 ?

OpenStudy (anonymous):

its only -4 because if you simplify both top and bottom then you realize that the x-2 on the bottom cancles out creating a whole not a zero.

OpenStudy (mertsj):

Yes.

OpenStudy (anonymous):

and all real numbers are not zeros.

OpenStudy (mertsj):

That is very true. It cannot be -2 because -2 is not in the domain since it would make the denominator 0. Good find @mulline

OpenStudy (mertsj):

So the only zero is -4

OpenStudy (anonymous):

Thank you!!!

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