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Substitute x = -2 into the function.

Computer Science

ScanSolve AI Answer

Answer

D

Step-by-step solution

3 steps

To evaluate the function f(x)=x3+3x2+x+7f(x) = x^3 + 3x^2 + x + 7 at f(−2)f(-2), substitute x=−2x = -2 into the function.

  1. Substitute x=−2x = -2 into the function.

    f(−2)=(−2)3+3(−2)2+(−2)+7f(-2) = (-2)^3 + 3(-2)^2 + (-2) + 7
  2. Calculate each term.

    (−2)3=−8(-2)^3 = -8 3(−2)2=3(4)=123(-2)^2 = 3(4) = 12 −2-2 77
  3. Sum the calculated terms.

    f(−2)=−8+12−2+7f(-2) = -8 + 12 - 2 + 7 f(−2)=4−2+7f(-2) = 4 - 2 + 7 f(−2)=2+7f(-2) = 2 + 7 f(−2)=9f(-2) = 9

    The value of f(−2)f(-2) is 9.

    Comparing this with the given options:
    Option A: -9
    Option B: 64
    Option C: 8
    Option D: 9

    The correct option is D.

    The final answer is 9\boxed{\text{9}}.

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