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- anonymous

If f(x) is a continuous function defined for all real numbers, f(–2) = 10, f(–7) = –5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value

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- anonymous

- schrodinger

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- anonymous

Let me the multiple choices?

- anonymous

a)-3 b)-8 c)0 d)2

- anonymous

If touches f(x)=0 once that mean it touches y=0 once
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What do you think it is now?

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- anonymous

0?

- anonymous

x value is the horizontal coordinate.
They are looking which x value can be f(x)=0

- anonymous

If they say it can only touch f(x)=0 or (y=0) once, that means it will always increase since the graph from f(-7) to f(-2) is increasing.

- anonymous

well I figured it might be -3 because -2=10 and -7=-5 so it would have to be between them right?

- anonymous

and it will always decrease from f(-7) to f(-10) and so on.

- anonymous

Yes, you are correct, it is -3.

- anonymous

thank you

- anonymous

No problem!

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