SOLUTION: Given that a polynomial function f(x) is such that f(5) = 2 and f(10) = -6, is there any guarantee that f takes on the value -2 for some x value between 5 and 10? Is there any guar
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-> SOLUTION: Given that a polynomial function f(x) is such that f(5) = 2 and f(10) = -6, is there any guarantee that f takes on the value -2 for some x value between 5 and 10? Is there any guar
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Question 651228: Given that a polynomial function f(x) is such that f(5) = 2 and f(10) = -6, is there any guarantee that f takes on the value -2 for some x value between 5 and 10? Is there any guarantee that f takes on the value 3 for some x value between 5 and 10? Explain your answer Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Given that a polynomial function f(x) is such that f(5) = 2 and f(10) = -6, is there any guarantee that f takes on the value -2 for some x value between 5 and 10?
Yes. The function is continuous so the y-value passes thru all values
from 2 to -6 as x passes thru all the values from 5 to 10.
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Is there any guarantee that f takes on the value 3 for some x value between 5 and 10? Explain your answer
No because 3 is outside the range of 2 to -6.
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cheers,
Stan H.
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