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

gaby131o

gaby131o

Answered question

2022-09-18

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

Answer & Explanation

Wischarm1q

Wischarm1q

Beginner2022-09-19Added 7 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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