Question

Write an exponential function in the form y and (3,72). ab" that goes through points (0,9)

Answer 1

Answer:

$y=9 ( {2}^{x} )$

Step-by-step explanation:

Let the exponential function be

$y = a {b}^{x}$

We substitute (0,9) to get:

$9 = a {b}^{0}$

$9 = a(1)$

$a = 9$

The equation now becomes:

$y = 9 {b}^{x}$

We substitute (3,72) to get:

$72 =9 {b}^{3}$

$8={b}^{3} \\ {2}^{3} = {b}^{3}$

$b = 2$

The equation is therefore

$y=9 ( {2}^{x} )$