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Let f(-4) = x^2 - 10(-4) + 11. What is the value of f(-4)?

A. 16
B. -43
C. 75
D. 42

1 Answer

3 votes

Final answer:

The value of f(-4) is calculated by plugging -4 into the quadratic function, yielding 67. None of the provided options (A, B, C, D) match this result, suggesting a possible error in the question options.

Step-by-step explanation:

To calculate the value of f(-4), we need to substitute -4 into the function f(x) = x² - 10x + 11. Following that:

  • First, we square the -4: (-4)² = 16.
  • Then, we multiply -10 by -4: -10(-4) = 40.
  • Finally, we add these results to 11: 16 + 40 + 11 = 67.

Therefore, the value of f(-4) is 67, which is not one of the provided options A, B, C, or D.

If this is a multiple-choice question from a standardized test or classroom quiz, it's possible there has been a misprint in the options provided. It would be best to consult with the teacher or test administrator for clarification.

User Tulir
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