How do you find the vertical, horizontal or slant asymptotes for #f(x) = (2x^2 + x + 2) /( x + 1)#?
Vertical asymptote at
No horizontal asymptote
giving us the vertical asymptote of
so there is no horizontal asymptote.
Since the degree of the numerator is greater than the degree of the denominator,
we can divide the denominator into the numerator to get a slant asysmptote:
So the slant asymptote is
Horizontal Asymptote: None
The given function is
To find the slant asymptote, divide numerator by the denominator of the given rational function.
The result of the division is
The whole number part of the quotient which is
which is the
To solve for the Vertical Asymptote, use the divisor and equate to zero
and the Vertical Asymptote is
Kindly see the graph of the function
God bless....I hope the explanation is useful.