Question

Explain why the initial value of any function in the form of F(x)=a(b^x) is equal to a

Answer 1

Explanation:

We have a function in the form

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

The initial value of a function refers to the value of the function when x=0.

If we plug in x=0 into our function, we get

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

Any number to the power of 0 is equal to 1, so we can rewrite this function as

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

Here we can see that we have just shown why the initial value of any function in the the given form is equal to a.