Question

Explain why the initial value of any function of the form
f(x) = a(b) is equal to a.​

Answer 1

The answer in the procedure

Explanation:

we have

`f(x)=a(b)^(x)`

This is a exponential function

where

a is the initial value

b is the base

we know that

The initial value of the function is the value of f(x) when the value of x is equal to zero

substitute x=0 in the function

`f(0)=a(b)^(0)`

Remember that any number to the zero power is one

so

`(b)^(0)=1`

substitute

`f(0)=a*1=a`