Final answer:
Option A). The correct ordered pair for the relation f(x) = |4x + 2| - 6 is (x, |4x + 2| - 6), which correlates with option a). This ordered pair is obtained by evaluating the absolute value expression and then subtracting 6 from it for any given x.
Step-by-step explanation:
Finding the ordered pairs for the relation f(x) = |4x + 2| - 6 is the subject of the student's inquiry. The relationship involves the subtraction of a constant value, 6, from an absolute value function, |4x + 2|. Option a corresponds to (x, |4x + 2| - 6), which is the correct ordered pair reflecting the given relation, as it appears that the question provided different relations. With this ordered pair, you can compute the absolute function's value for any input value x, deduct 6, and then combine x and the resultant value to form the ordered pair.