Evaluate f(-2) for f(x) = 2x^2 - 3x + 4.

• A. 14
• B. 18
• C. 10
• D. 22

Answer: (B)

Evaluating a function at a specific value means substituting that value for x and simplifying step by step.

Plug in -2: f(-2) = 2(-2)^2 - 3(-2) + 4.

Compute: (-2)^2 = 4, so 2(-2)^2 = 8. Then -3(-2) = 6. Adding the remaining 4 gives 8 + 6 + 4 = 18.

So the value of the function at -2 is 18, which is why the answer is 18. The key is careful substitution and applying the order of operations: exponent, then multiplication, then addition; the negative input changes the sign of the linear term and the square term remains positive.