Which statement about the asymptotes is true with respect to the graph of this function?
o the horizontal asymptotes lies at x 1 and x
o the vertical asymptotes are x 3 and x
o the graph crosses the horizontal asymptote.
o the graph has two vertical asymptotes and one horizontal
asymptote.

Option D.

Step-by-step explanation:

The given function is

In this function the degree of numerator an denominator is same i.e., 2.

Horizontal Asymptotes: If the degree of numerator an denominator is same, then

Horizontal asymptote is y=3.

This statement is false for any value of x, therefore the graph does not cross the horizontal asymtote.

Vertical Asymptotes: Equate the denominator equal to 0, to find the vertical asymptotes.

Add 4 on both sides.

Taking square root on both sides.

Vertical asymptotes are x=2 and x=-2.

The graph has two vertical asymptotes and one horizontal asymptote.

Therefore, the correct option is D.

4x and 6y

im not sure though

=

x=0.8898305 is the answer to that equation