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The value 3 is an upper bound for the zeros of the function shown below.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

The value 3 is an upper bound for the zeros of the function shown below.

A. True
B. False

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Solution

To determine whether the statement "The value 3 is an upper bound for the zeros of the function" is true or false, we can apply the Upper Bound Theorem, which states that if a polynomial is evaluated at a specific value and all the resulting values are non-negative, that value is considered an upper bound for the roots of the polynomial.

Analysis

  1. If we can substitute x=3 x = 3 into the polynomial and obtain non-negative outputs for all terms, then 3 is an upper bound.
  2. If any of the outputs are negative, then 3 cannot be an upper bound.

Given that the information about the specific function is not provided, we cannot definitively evaluate the statement.

Verification

  • We need to evaluate the polynomial at x=3 x = 3 and check the sign of the resulting values.

Conclusion

Without specific information about the function, we cannot conclude definitively if the answer is true or false. If information about the values at x=3 x = 3 is available, those should be evaluated to determine the truth of the statement.

Final Answer

Without the polynomial defined, we cannot determine if the answer is True (A) or False (B). Additional information about the function is necessary to make a determination.

This problem has been solved

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