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anonymous
 one year ago
Will METAL!!
For the given function, find the vertical and horizontal asymptote(s) (if there are any).
f(x) = the quantity two x squared plus one divided by the quantity x squared minus four
None
x = 2, y = 2y = 0
x = 2, x = 2, y = 2
x = 2, y = 2, y = 1
anonymous
 one year ago
Will METAL!! For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity two x squared plus one divided by the quantity x squared minus four None x = 2, y = 2y = 0 x = 2, x = 2, y = 2 x = 2, y = 2, y = 1

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443803129894:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1for \(\color{green}{\rm Vertical~ asy.}\) set the denominator equal to zero and then solve for the variable. for\(\color{green}{\rm Horizontal ~asy.}\) focus on highest degrees ~if the highest degree of the numerator is greater than the denominator then `No horizontal asy.` \[\color{reD}{\rm N}>\color{blue}{\rm D}\] example \[\large\rm \frac{ 7x^\color{ReD}{3} +1}{ 4x^\color{blue}{2}+3 }\] ~if the highest degree of the denominator is greater than the highest degree of the numerator then `y=0` would be horizontal asy. \[\rm \color{reD}{N}<\color{blue}{\rm D}\] example:\[\large\rm \frac{ 7x^\color{red}{2}+1 }{ 4x^\color{blue}{3}+3 }\] ~if both degrees are the same then divide the leading coefficient of the numerator by the leading coefficient of the denominator \[\rm \color{red}{N}=\color{blue}{D}\] \[\large\rm \frac{ 8x^\color{reD}{3}+1 }{ 4x^\color{blue}{3}+3 }\] \[\rm \frac{ 8x^3 }{ 4x^3 } =2\] horizontal asy. =2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1looks vry long but it's not :D

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1remember when we take square root we should get plus/minus answer \[\huge\rm \sqrt{x^2} = \pm x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would be my third answer choice because that's the only one with a negative number.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1lol right what about horizontal asy ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the horizontal asy is 2 because both degs on the top and bottom are even. Right?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1highest degree of both (Denominator and numberatr) are the same so just divide the leading coefficient dw:1443803913846:dw
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