Given:
For en exponential function f(a):
To find:
The value of f(0).
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and b is the growth/ decay factor.
We have, . Substitute in (i).
...(ii)
We have, . Substitute in (i).
...(iii)
On dividing (iii) by (ii), we get
Substituting the value of b in (iii).
The initial value of the function is 43.83. It means, .
Therefore, the value of f(0) is 43.83.