a)Did the vertical or horizontal asymptote change? If it didn’t change, why not? b)What is the vertical asymptote?c)What is the horizontal asymptote?d)What is the Domain
Note:- You don't mention for which graph you need asymptote. So, i'm providing you asymptote for graph (red and blue). If you want anything else in this problem than you can resubmit this problem by mentioning. Thank you
Step:-1
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Red graph - graph
Blue graph - graph
Part (b):-
Vertical Asymptote:- The vertical Asymptote of a rational function are the vertical lines which correspond to the zeros of the denominator.
For graph (1) (red graph) the vertical asymptote is x=0
For graph (2) (blue graph) the vertical asymptote is x= -6
Here, we can see when we change the graph (from red to blue or blue to red) then vertical asymptote is also changed.
Green graph does not have asymptote neither vertical nor horizontal.
Part (c):-
Horizontal Asymptote:- the horizontal Asymptote of a function is a horizontal line y= c (constant).
when x approaches to the curve approaches some constant c.
For graph (1) (Red graph) horizontal asymptote is y=0
For graph (2) (blue graph) horizontal asymptote is y=3
Here, we can see when we change the graph (from red to blue or blue to red) then Horizontal asymptote is also changed.
Part (d):-
Domain for Red graph:-
Note:- function has vertical asymptote at 0, So, function is not defined at 0.
Domain for Blue graph:-
Note:- function has vertical asymptote at 0, So, function is not defined at -6.
Domain for Green graph :-
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