SOLUTION: Using the intermediate value theorem determine, if possible, whether the function f(x)=2x^5−7x+1 has a real zero between x=1 and x=2.

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Question 317255: Using the intermediate value theorem determine, if possible, whether the function f(x)=2x^5−7x+1 has a real
zero between x=1 and x=2.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%281%29=2%281%29%5E5-7%281%29%2B1=2-7%2B1=-4
f%282%29=2%282%29%5E5-7%282%29%2B1=51
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Since -4+%3C+0+%3C+51, then by the intermediate value theorem, there is an x, (1+%3C+x+%3C+2), such that f%28x%29=0.