Question

Write an exponential function in the form y and (2,396) ab" that goes through points (0,11)​

Answer 1

`y =11(6)^x`

Explanation:

Given

`(x_1,y_1) = (0,11)`

`(x_2,y_2) = (2,396)`

Required

The exponential function

This is represented as:

`y = ab^x`

In
`(x_1,y_1) = (0,11)`, we have:

`11 = ab^0`

`11 = a*1`

`a = 11`

So, we have:

`y = ab^x`

`y = 11b^x`

In
`(x_2,y_2) = (2,396)`, we have:

`396 = 11 * b^2`

Divide both sides by 11

`36 = b^2`

Taks square roots

`6 = b\\\\b=6`

So, we have:

`y = 11b^x`

`y =11(6)^x`