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.