Step-by-step explanation:
A shows the initial value or y intercept.
Why.
A exponential function is shown as
[tex]a(b {}^{x} )[/tex]
If we are trying to find the y intercept, we first set this equal to y
[tex]a( {b}^{x} ) = y[/tex]
Set x=0
[tex]a {b}^{0} = y[/tex]
And solve for y.
Remeber that anything raised to the zero power is 1. So
[tex]b {}^{0} = 1[/tex]
So we have
[tex]a(1) = y[/tex]
Anything times 1 is itself so we have
[tex]a = y[/tex]
This means that the y intercept of a exponential function is (0,a). A gives us the y intercept.
