Question

An exponential relationship has a growth factor of3and y-intercept of 4.Evalute the function that represents the function that represents this relationship where x=10

Answer 1

`f(10)= 236196`

Explanation:

Given

`(x,y) = (0,4)` --- y intercept

`b = 3` --- growth factor

Required

`f(10)`

An exponential function is represented as:

`y = ab^x`

`(x,y) = (0,4)` means

`4=a * b^0`

`4=a *1`

`a= 4`

So, we have:

`y = ab^x`

`y = 4(3)^x`

or

`f(x)= 4(3)^x`

When x is 10, the value of the function is:

`f(x)= 4(3)^x`

`f(10)= 4(3)^{10`

`f(10)= 236196`