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Given:
An exponential function passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
Taking square root on both sides.
For an exponential function b cannot be negative. So, .
Therefore, the value of a is 12000 and the value of b is .