Final answer:
To express the function f(x) = 2x - 1 as a set of ordered pairs, the correct option is A. (x, 2x - 1), where each x-value is paired with its corresponding f(x) value according to the function's rule.
Step-by-step explanation:
To write the function f(x) = 2x - 1 as a set of ordered pairs, we look at the given options and choose the one that correctly matches the input x with the output f(x). An ordered pair is represented as (input, output), or more generally, (x, y). We want the output (y) to be expressed as the function of the input (x), which in this case is f(x) = 2x - 1.
Therefore, the correct set of ordered pairs would reflect all possible x-values and their corresponding f(x) values:
- A. (x, 2x - 1) is correct since it mirrors the function's rule.
- B. (2x, x - 1) reverses the input and output, which is incorrect.
- C. (x, x + 1) does not match the given function rule.
- D. (x, 2x + 1) changes the function's subtraction to addition, which is incorrect.
Thus, the correct answer is A. (x, 2x - 1).