Question

Which best describes the function represented by the data in the table?

linear with a common ratio of 4
linear with a common second difference of 4
quadratic with a common ratio of 4
quadratic with a common second difference of 4

Answer 1

The quadratic with a common second difference of 4

Explanation:

Please reference

Answer 2

quadratic with a common second difference of 4

Explanation:

The only answer choice that is self-consistent is ...

quadratic with a common second difference of 4

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You don't even need to see the data table to choose the appropriate answer.

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More explanation

A linear function will have a common first difference, not a common ratio or (non-zero) second difference. [eliminates choices A and B]

A quadratic function will have a common second difference (consistent with the last answer choice).

Any function with a common ratio is an exponential function. [eliminates choice C]