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the graph of the even function F(X) Has 5 x-intercepts if (6,0) is the one of the intercepts what set of points can be the other intercepts of the graph of f(x)?
A.(-6,0) , (-2,0) ,and (0,0)
b.(-6,0) , (-2,0) , and (4,0)
c.(-4,0) , (0,0) , and (2,0)
d.(-4,0) , (-2,0) , and (0,0)

Respuesta :

DeanR

f(x) being even means


f(x) = f(-x)


So the zeros come in positive and negative pairs. If there are an odd number of intercepts like there are here, it's because one of them is x=0 which is its own negation.


Given zero x=6 we know x=-6 is also a zero.


So we know three zeros, and know the other two zeros are a positive and negative pair.


The only choice with (-6,0) and (0,0) is A.


Choice A



haileyreyes70

Answer:

A

Step-by-step explanation:

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