Which of the following tables of values represent ordered pairs for the function f(x) = 2x – 1?x 3 6 9 12
f(x) 6 12 18 24

x 2 4 6 8
f(x) 5 9 13 17

x 1 2 3 4
f(x) 1 3 13 17

x 0 4 8 12
f(x) -1 7 15 23

Final answer:

The correct table of values that represents the function f(x) = 2x − 1 for the given values of x is the one with x values 0, 4, 8, 12 and corresponding f(x) values of -1, 7, 15, 23.

Explanation:

To determine which table of values represents ordered pairs for the function f(x) = 2x − 1, we need to check each pair of x and f(x) to see if they satisfy the equation. Let's examine each table:

• x = 3; f(x) should be 2(3) − 1 = 5, but the table shows 6.
• x = 2; f(x) should be 2(2) − 1 = 3, and the table shows 5 which also incorrect.
• x = 1; f(x) should be 2(1) − 1 = 1, but the table shows 1 which is correct. Let's check the rest: for x = 2, f(x) = 3, which matches the table. However, for x = 3, f(x) should be 5, not 13 as listed in the table. So, this table is also incorrect.
• x = 0; f(x) should be 2(0) − 1 = -1, which matches the table. For x = 4, f(x) = 7 confirms the table. The pairs for x = 8 and x = 12 also match the function. Therefore, the last table correctly represents the function f(x) = 2x − 1 for the given values of x.

The correct table of values for the function f(x) = 2x − 1 is the one that correctly corresponds for all x's:

• x: 0 4 8 12
• f(x): -1 7 15 23

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