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.