The graph of the equation y=22.2-42.2*0.6^x has a horizontal asymptote. What would be the equation of this asymptote?
y = 22.2 - 42.2* 0.6^x
Note that as x gets larger and larger, the term 42.2*0.6^x virtually evaluates to 0
So.....the horizontal asymptote = y = 22.2 - (0) ⇒ y = 22.2
See the graph of this here : https://www.desmos.com/calculator/luywbdkzfx
Thank you! In my assignment they also ask me what the horizontal assympote ""means/shows"". The assignment is about counting the owls in a city, and x originally was t for time. So if t gets larger the quantity of owls practically turns to zero then?
No..... it means that as t gets larger and larger, the owl population will stabilize at 22.2 [ this must be in some unit like thousands ]