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- anonymous

For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2?
Both a(x) and b(x) have a maximum or minimum value at x = 2.
Both a(x) and b(x) have the same output value at x = 2.
Both a(x) and b(x) cross the x-axis at 2.
Both a(x) and b(x) cross the y-axis at 2.

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- anonymous

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- anonymous

Well, do they tell you what a(x) or b(x) equal besides each other?

- anonymous

For instance a(x) = x*1 would mean that Both a(x) and b(x) cross the y- axis at 2 when x = 2

- anonymous

so is it c?

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- anonymous

i mean D

- anonymous

It is hard to say without knowing what a(x) or b(x) equals other than each other. We know a(x) = b(x) but do you have anything else one of them might equal?

- anonymous

If a(x) or b(x) is a quadratic then it is a different story. It seem like you are missing something in your problem. Did you type it in right?

- anonymous

Never mind. I think they just want to know what is true when x = 2 and that would be C

- anonymous

ok thank you

- anonymous

YW

- anonymous

They're asking which one is DEFINITELY true. All of them can be true under the right circumstances.
a(x) = b(x) at 2 means a(2) = b(2), meaning they have the same y (or output) at x = 2

- anonymous

That is what I was getting to at first peachpi but then it stats
What is definitely true about x = 2 and what is definitely true is when x = 2 it will be a vertical line at 2 so I figure they want you to chose C

- anonymous

C was wrong

- anonymous

we don't know that it's a vertical line. We don't know anything except that two function have the same y at x = 2. The only thing consistent is that they have the same y
|dw:1437791284212:dw|

- anonymous

b is the only one that's always true

- anonymous

Yep that is right peachpi. I completely over looked that.

- anonymous

If a(x) = b(x) they both are going to have the same output when the input is 2

- anonymous

B is true

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