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What type of function will have constant third differences but not constant second difference
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Answer to Problem 32HP
The given data represents an exponential model
Explanation of Solution
Given:
A function will have constant third differences but not constant second differences
Concept Used:
If first difference of y-values is equal, then model be linear
If second difference be equal, then the model be quadratic
If first and second differences are not equal then the model will be exponential
Calculation:
Let’s assume a data table which is below
In order to check whether the assume data is linear, quadratic or an exponential;
Thus, the first difference of y-values is not equal but the second difference is also no equal , so the given data represents a exponential model
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Algebra 1
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