Question

What is the equation of the line that represents the horizontal asymptote of the function

f(x) = 3000 (1 +0.09)^x-2 +4?

Answer 1

Answer: y=4

Explanation:

The Parent function
`y=a^(x)` has a horizontal asymtote at y=0

because the function approaches 0 but never touches it no matter how small the number you input. See image. Asymtotes are like a boundary that is not passed

Your curve has been shifted up 4 so y=4

See image

Extra info: y-intercept = 3000

shifted right 2