Algebra-2

To determine which expression could be the function f(x), we need to check which of the given expressions satisfies the points f(2) = 9 and f(-2) = -7.

Let's check each expression:

Option A: f(x) = x² + x + 3

When x = 2:

f(2) = 2² + 2 + 3 = 4 + 2 + 3 = 9

It satisfies f(2) = 9.

When x = -2:

f(2) = (-2)² - 2 + 3 = 4 - 2 + 3 = 5

It does not satisfy f(-2) = -7.

Option B: f(x) = x - 5

When x = 2:

f(x) = 2 - 5 = -3

It does not satisfy f(2) ...