MrBillDoesMath!
Answer: y = -1/2
Discussion:
As x approaches plus or minus infinity the function behaves like
(-3x^5)/ (6x^5) = -1/2
MrB
Answer:
Horizontal asymptote
[tex]y=-\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given: [tex]y=\dfrac{-3x^5+5x+4}{6x^5+2x+5}[/tex]
We need to find horizontal asymptote
For horizontal asymptote, we check the degree of numerator and denominator
Degree of numerator = 5
Degree of denominator = 5
Here degree is same
Therefore, Horizontal asymptote, y= leading coefficient of numerator over leading coefficient of denominator
Leading coefficient of numerator = -3
Leading coefficient of denominator = 6
Horizontal asymtote:
[tex]y=\dfrac{-3}{6}=-\dfrac{1}{2}[/tex]
Hence, The horizontal asymptote is [tex]y=-\dfrac{1}{2}[/tex]
