Problem

The function in the table is quadratic:
Unknown environment 'tabular'
True
False

Answer

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Answer

Final Answer: True

Steps

Step 1 :The function in the table is given as follows:

Step 2 :Unknown environment 'tabular'

Step 3 :We need to check if the function is quadratic. A function is quadratic if the differences between consecutive function values form a constant sequence. This is because the difference between consecutive function values of a quadratic function is a linear function, and the difference between consecutive function values of a linear function is a constant function.

Step 4 :Let's calculate the differences between consecutive function values and check if they form a constant sequence.

Step 5 :The function values are -7, 1, 9, 17. The differences between these values are 8, 8, 8.

Step 6 :The second differences are all 0, which means the differences between consecutive function values form a constant sequence.

Step 7 :Therefore, the function in the table is quadratic.

Step 8 :Final Answer: True

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