How do you graph f(x)=3/x+1 using holes, vertical and horizontal asymptotes, x and y intercepts?

gaby131o 2022-09-18 Answered
How do you graph f ( x ) = 3 x + 1 using holes, vertical and horizontal asymptotes, x and y intercepts?
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Answers (1)

Wischarm1q
Answered 2022-09-19 Author has 5 answers
y axis intercepts occur when x=0. x=0 is undefined for this function, so no y intercept.
x axis intercepts occur when y=0:
3 x + 1 = 0 x = - 3
Coordinate: (−3,0)
as x , 888 3 x + 1 1
as x - , 888 3 x + 1 1
The line y=1 is a horizontal asymptote.
as x 0 + , 888 3 x + 1
as x 0 - , 888 3 x + 1 -
The line x=0 is a vertical asymptote.
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What are the methods to find antiderivative of rational functions like these ones?
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