Final answer:
The set {(0, 1), (1, 5), (2, 9)} represents possible inputs and outputs of the function y - 1 = 4x.
Step-by-step explanation:
The given equation is y - 1 = 4x.
To determine the possible inputs and outputs in the form of ordered pairs, we need to rearrange the equation to isolate y.
Adding 1 to both sides of the equation, we get y = 4x + 1.
Now, we can substitute different values of x to find the corresponding values of y.
Let's check the sets:
(a) Substituting x = 1 gives y = 4(1) + 1 = 5. This matches with the ordered pair (1, 5).
(b) Substituting x = 4 gives y = 4(4) + 1 = 17. This does not match with any ordered pair.
(c) Substituting x = 2 gives y = 4(2) + 1 = 9. This matches with the ordered pair (2, 9).
(d) Substituting x = 5 gives y = 4(5) + 1 = 21. This does not match with any ordered pair.
Therefore, the only set that represents possible inputs and outputs of the function as ordered pairs is option c. {(0, 1), (1, 5), (2, 9)}.