If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the value of f(0), to the nearest hundredth.

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.

c

step-by-step explanation:

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