Suppose f is continuous on [1,5] and the only solutions of the equation f(X)= 6 are x=1 and x=4. If f(2)=8, explain why f(3)>6. ...?

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21-11-2016
Mathematics

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Suppose f is continuous on [1,5] and the only solutions of the equation f(X)= 6 are x=1 and x=4. If f(2)=8, explain why f(3)>6. ...?

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syed514 syed514 · Answer 1 · 2016-11-22T12:31:50+01:00

syed514 syed514

22-11-2016

because since f(2)=8 and f(4)=6 and there is no other value between 2 and 4 that gives 6, f must be greater than 6 at 3. if f was lower than 6, it must have skipped over 6, which is not possible since f is continuous

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