Use Desmos to graph the rational function and find the horizontal asymptote.

Question

y=x+66x2−7
𝑦
=
𝑥
+
6
6
𝑥
2
−
7
(1 point)
Responses

y=16
𝑦
=
1
6
y is equal to 1 sixth

y=−6
𝑦
=
−
6
y is equal to negative 6

There is no horizontal asymptote
There is no horizontal asymptote

y=0

Answer 1

To use Desmos to graph the rational function and find the horizontal asymptote, you can enter the following equation into the Desmos graphing calculator:

y=(x+6)/(66x^2 - 7)

Once you graph this equation, you will see the rational function graphed. To find the horizontal asymptote, look at the behavior of the function as x approaches positive or negative infinity. In this case, you will see that there is no horizontal asymptote for this rational function.