Question

Write an exponential function for these two pair of given points: (2,4) (3,2).

Answer 1

`16*((1)/(2))^x`

Explanation:

our equation will look something like this

abˣ=y

We can write the two equations

4=ab²

and

2=ab³

we can divide the second equation by the first and get

`(2)/(4)=(ab^3)/(ab^2)\\\\=.5=b\\`

Now that we know what b equals we can plug that value in and solve for a

`4=a*.5^2\\\\a=16`