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    Mathematics
    Grade-8
    Easy

    Question

    Match the function h(x) = 2x (x + 1) (x + 2) to the graph

    hintHint:

    We will substitute the points on given graphs to find which graph represents the given function.

    The correct answer is:

      GIVEN-
      h(x) = 2x (x + 1) (x + 2)
      TO FIND-
      Graph of the given function.
      SOLUTION-
      >> Option a is eliminated because it has point (1,0) on the graph.
      However, as per the given function-
         h(x) = 2x (x + 1) (x + 2)
      ∴ h(x) = 2 (1) (1 + 1) (1 + 2)
      ∴ h(x) = 2 * 2 * 3
      ∴ h(x) = 12
      Since, (1,0) does not satisfy the given function, it is not the correct answer.
      >> Option b is eliminated because (1,12) is not a point on the graph.
      Hence, option b is also eliminated.
      >> Option c is eliminated because (1,12) is not a point on the graph.
      Hence, option b is also eliminated.
      >> Hence, option d is the correct answer.
      FINAL ANSWER-
      Option 'd' is the correct answer to the given question.

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