Answer:
C. f(x) = 2x² - 1.
Explanation:
Using any of the given pair, slot in the values of the pair into each function given to find out if it would satisfy the equation.
Let's use (1, 1).
Option A: f(x) = 2x - 1:
Substitute x = 1 and f(x) = 1 into the function
1 = 2(1) - 1
1 = 2 - 1
1 = 1 (this is true).
However, let's try this using another given pair, (2, 7) to confirm if the function matches the table.
Substitute x = 2 and f(x) = 7 into f(x) = 2x - 1
7 = 2(2) - 1
7 = 4 - 1
7 = 3 (this is not true). Therefore the function doesn't match.
✔️Let's check option C: f(x) = 2x² - 1.
Substitute x = 1, and f(x) = 1 into the function
1 = 2(1)² - 1
1 = 2 - 1
1 = 1 (true)
Try another pair, say (2, 7):
Substitute x = 2 and f(x) = 7 into f(x) = 2x² - 1
7 = 2(2)² - 1
7 = 2*4 - 1
7 = 8 - 1
7 = 7 (true).
Therefore, C. is the correct answer.