# How do you graph #y=(x^2+4x)/(2x-1)# using asymptotes, intercepts, end behavior?

##### 1 Answer

**Vertical asymptote:** **slant asymptote:** **y-intercept:** **x intercepts:** **End behavior:**

#### Explanation:

Vertical asymptote :

Degrees of numerator and denominator are

Since degree of numerator is greater there is slant asymptote

which can be found by long division.

x intercept: putting

x intercept is at

End behavior : degree is odd, leading co efficient is positive.

For odd degree and positive leading coefficient the graph goes

down as we go left in

right in

Down ( As

Up ( As

graph{(x^2+4x)/(2 x-1) [-20, 20, -10, 10]} [Ans]