Determine whether each table or rule represents a linear or an exponential function. Explain.
Whether the given table represents a linear or exponential function.
Answer to Problem 2P
The table represents a linear function
Explanation of Solution
Given information:
The table for function
Method used:
From the given data a relationship between x and y is observed.
From the table, we observe that there is a common difference 6 between the values of y .
Therefore, the relationship between x and y is not exponential.
Further, observe that the values of y, 3, 9, 15, 21 are in arithmetic series whose first term is 3 and common difference 6.
The nth term of series
Now, taking
Thus, the table represents a linear function
Conclusion:
The table represents a linear function
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