The function in the table is quadratic:
True
False
Final Answer:
Step 1 :The function in the table is given as follows:
Step 2 :
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: