Final answer:
To find which function results in f(6) = -26, substitute 6 for x in each function. The correct function is f(x) = -4x - 2, as it produces the required value when evaluated.
Step-by-step explanation:
The subject of the question revolves around determining which function describes a sequence where the function value at f(6) = -26. This requires substituting x with 6 in each given function and checking which one results in the value of -26.
We are given four functions to evaluate:
- f(x) = -4x - 2
- f(x) = 4x - 2
- f(x) = -x + 32
- f(x) = x - 26
To find the correct function, we will substitute x with 6:
- f(6) = -4(6) - 2 = -24 - 2 = -26, therefore the first function produces the correct value.
So the correct answer is the first function: f(x) = -4x - 2.