Complete the table of values for the function f(x)=-x^2+8x-2
1 answer:
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Given:
The graph of an exponential function.
To find:
The function in the form of .
Solution:
The general form of an exponential function is
...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
For x=1 and f(x)=7,
Putting a=4, we get
Substitute a=4 and in (i).
Therefore, the required exponential function is .