To determine which type of function best models the data in a given table, you would typically look for patterns in the data points. Here are some guidelines for each type of function:
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Linear: If the data points show a constant rate of change (the difference between consecutive values is the same), a linear function may be a good fit.
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Cubic: If the data points show an inflection point (the graph changes direction more than once, and the second difference is constant), a cubic function might be appropriate.
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Quadratic: If the data points follow a parabolic shape and the second differences are constant, a quadratic function is likely the best choice.
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Exponential: If the data points increase (or decrease) at a rate proportional to their current value (i.e., they are multiplying rather than adding), an exponential function is suitable.
To make a definitive conclusion, you would need to analyze the specific values in the table. If you could provide the data points, I could assist you better in determining the appropriate function type.
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