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F(2) = 8 and f(0) = 6. Find f(k).

A. f(k) = 4k + 6
B. f(k) = 2k + 6
C. f(k) = 3k + 6
D. f(k) = 5k + 6

1 Answer

3 votes

Final answer:

None of the provided function options (A, B, C, D) match the given values f(2) = 8 and f(0) = 6, indicating a mistake in the options or the question. Thus, there's no correct answer based on the provided choices.

Step-by-step explanation:

To find the function f(k) that matches the given values, we need to look at the available options and test them with the provided points f(2) = 8 and f(0) = 6. We can substitute these points into the function options and see which one gives us the correct results.

  • For option A: f(k) = 4k + 6, f(2) would be 4(2) + 6 = 14, which does not match f(2) = 8.
  • For option B: f(k) = 2k + 6, f(2) would be 2(2) + 6 = 10, which again does not match f(2) = 8.
  • For option C: f(k) = 3k + 6, f(2) would be 3(2) + 6 = 12, which is incorrect.
  • For option D: f(k) = 5k + 6, f(2) would be 5(2) + 6 = 16, which does not match f(2) = 8, and f(0) = 5(0) + 6 = 6, which matches f(0) = 6.

None of the provided options correctly matches the points given. Since none of the proposed formulas leads us to the values f(2) = 8 and f(0) = 6, there must be a mistake in the options or the question itself. Therefore, based on the given information and options, there is no possible correct answer.

User GordonM
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