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Help with functions possible values?

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1 Answer

  • 1 month ago

    The graph of g(x) = k where k is an integer is a horizontal line through (0, k) .

    g(x) always equals k, so g(a) = k, and

    f(a) = g(a) implies that f(a) = k .

    Given that f(a) = g(a) = k has three different solutions, this means that the horizontal line g(x) = k intersects the given graph of f(x) at three different points. The integer values of k where this happens are k = -3, -2, -1, 0, 1, 2.

    There are six possible integer values of k that satisfy the criteria.

    • ...Show all comments
    • anonymous
      Lv 7
      1 month agoReport

      As to the answer saying there are seven integers that satisfy the criteria, I'm not seeing how that is the case.

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