Multiple choice

x g(x) -1 45 0 16 2 28 The table above shows the values of x and their corresponding values of g(x). Which of the following quadratic equations defines the function g?

  1. g(x) = 3x2 + 2x + 16

  2. g(x) = 5x2 + 4x + 16

  3. g(x) = 2x2 - x + 16

  4. None of these
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D Correct answer
AI explanation

To find the equation defining the function, test the given values in the provided options. Testing x equals 2 in the first option gives 3 times 4 plus 4 plus 16, which equals 32, but the table shows g of 2 is 28. Testing x equals negative 1 in the second option gives 5 minus 4 plus 16, which is 17, but the table shows g of negative 1 is 45. Because all given equations fail to match the values in the table, none of these define the function.

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