For f(x) = x^2 - 3x + 2, what is f(4)?

For f(x) = x^2 - 3x + 2, what is f(4)?

• A. 6
• B. 4
• C. 12
• D. 0

Answer: (A)

Evaluating a function at a specific input means substituting that input into the expression for the function. For f(x) = x^2 - 3x + 2, substitute x = 4: f(4) = 4^2 - 3(4) + 2 = 16 - 12 + 2 = 6. You can also factor f(x) as (x - 1)(x - 2). Then f(4) = (4 - 1)(4 - 2) = 3 × 2 = 6, which confirms the result.

Evaluating a function at a specific input means substituting that input into the expression for the function. For f(x) = x^2 - 3x + 2, substitute x = 4:

f(4) = 4^2 - 3(4) + 2 = 16 - 12 + 2 = 6.

You can also factor f(x) as (x - 1)(x - 2). Then f(4) = (4 - 1)(4 - 2) = 3 × 2 = 6, which confirms the result.