mattgondek4
2021-09-20
The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Decide which, if any, are exponential, and give the exponential models for those that are.
Maciej Morrow
Skilled2021-09-21Added 98 answers
Step 1
Recall:
For the exponential function
1.
2. If x increases by 1,
Step 2
Observe the table for
Step 3 NKS Calculate the ratios
to see by how much
Step 4
Note that there exists a constant
such that condition 2 is satisfied, which means that f is exponential,
Furthermore,
Step 5
Observe that table for
Step 6
Calculate the ratios
Step 7
Note that there exists a constant
such that condition 2 is satisfied, which means that g is exponential,
Furthermore,
Since
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