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Given f(x) = x2 − 3x, what is f(2)? Choose from the options: a. 0, b. 1, c. 2, d. -1, e. -2, f. 3, g. -3, h. 4, i. -4, j. -2, k. -2

Mathematics

ScanSolve AI Answer

Graph of f(x) = x² − 3x

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Key points of f(x) = x² − 3x
Pointxy
x-intercept00
Minimum1.5−2.25
x-intercept30

Step-by-step solution

3 steps

To find f(2)f(2) for the function f(x)=x2−3xf(x) = x^2 - 3x, we substitute x=2x=2 into the function.

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

    f(2)=(2)2−3(2)f(2) = (2)^2 - 3(2)

  2. Calculate the terms.

    f(2)=4−6f(2) = 4 - 6

  3. Perform the subtraction.

    f(2)=−2f(2) = -2

    Now, we compare this result with the given options.
    Options a, j, and k all state -2. We will choose one of these.

    The final answer is j. -2\boxed{\text{j. -2}}.

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