# How do you find the vertical, horizontal or slant asymptotes for #f(x) = (3x^4 + 2x +1 )/ (100x^3 + 2)#?

##### 1 Answer

Slant asymptote:

Vertical asymptote

Horizontal asymptote:none

#### Explanation:

From the given:

To obtain the slant asymptote, we divide numerator by the denominator and take note of the quotient. We can divide because the dividend is higher in degree.

By long division

The result of the division will provide us the answers

part of the quotient

To obtain the Vertical Asymptote

Equate the divisor to zero then solve for x, that is

graph of

graph{(y-(3x^4+2x+1)/(100x^3+2))=0[-20,20,-10,10]}

graph of slant asymptote

graph{(y-(3x)/100)( y+1000000x+1000000root3(2500)/50 )=0[-20,20,-10,10]}

God bless....I hope the solution is useful