Respuesta :

Answer:

Option D.

Step-by-step explanation:

From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.

The curves represent the graph of [tex]y=\tan x[/tex].

We need to find the equation which is represented by the intersection of the graphs.

We have two equations one is for curve and another for horizontal line.

[tex]y=\tan x[/tex]

[tex]y=-1[/tex]

Equate both equations to get the equation which is represented by the intersection of the graphs.

[tex]\tan x =-1[/tex]

Therefore, the correct option is D.

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