Question

5. In the equation for exponential functions, y = a.b*, how does the a term relate to a key feature of the graph?​

Answer 1

Explanation:

A shows the initial value or y intercept.

Why.

A exponential function is shown as

`a(b {}^(x) )`

If we are trying to find the y intercept, we first set this equal to y

`a( {b}^(x) ) = y`

Set x=0

`a {b}^(0) = y`

And solve for y.

Remeber that anything raised to the zero power is 1. So

`b {}^(0) = 1`

So we have

`a(1) = y`

Anything times 1 is itself so we have

`a = y`

This means that the y intercept of a exponential function is (0,a). A gives us the y intercept.