# Is #f(x)=(x^2+2x-6)/(2x+1)# increasing or decreasing at #x=0#?

##### 1 Answer

Jan 19, 2017

#### Explanation:

By actual division,

So, f

See the graph.

Note that the graph is a hyperbola, with asynptotes

center

graph{(y(2x+1)-x^2-2x+6)(x^2+(y+6)^2-.1)=0 [-20, 20, -10, 10]}