Functions

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Why is the following assertion false? "If f(2)=2 and f(4)=4, then f(3)=3."
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this is that last problem on one of my homeworks. I think it is a trick question and that it is actually true...but i am not sure. please help, thanks.

Quote:

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Originally Posted by talhaguy

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Why is the following assertion false? "If f(2)=2 and f(4)=4, then f(3)=3."
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this is that last problem on one of my homeworks. I think it is a trick question and that it is actually true...but i am not sure. please help, thanks.

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It is sometimes true.
Consider,
.

It is false when you consider

Hello, talhaguy!

Quote:

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Why is the following assertion false?
"If and , then "

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All we know about the function are two points:

The graph could look like this:

Code:

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      |
      |                *
      |            *    *(4,4)
      |          *      :
      |          *        :
      |                  :
      |    (2,2)*        :
      |        :        :
      |        :        :
      |        :        :
    -+---------+----+----+------
      |        2    3    4

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That is, could be anywhere on the line

thankyou so much guys, i really appreciate it.