In Exercises 1924 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. [HINT: See Example 1.]

–2  –1  0  1  2 

100  200  400  600  800 

100  20  4  0.8  0.16 
Whether the exponential function is formed by the function
0 
1 
2 

100 
200 
400 
600 
800 

100 
20 
4 
0.8 
0.16 
If yes, then provide the exponential model.
Given information:
The provided table is:
0 
1 
2 

100 
200 
400 
600 
800 

100 
20 
4 
0.8 
0.16 
Consider the following data table,
0 
1 
2 

100 
200 
400 
600 
800 

100 
20 
4 
0.8 
0.16 
From the data table it can be observed that for every time value of x increases by 1, the value of
From the data table, it can also be observed that for every time value of x increases by 1, the value of
Consider the formula of exponential function,
Substitute
From the table,
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