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

Question

asked Sep 3, 2023 105k views

1 Answer

Lenkovi · Answer 1 · 2023-09-06T18:40:04+0000

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.