How do you graph f(x)=−2/x using holes, vertical and horizontal asymptotes, x and y intercepts?

ubumanzi18

ubumanzi18

Answered question

2022-09-08

How do you graph f ( x ) = - 2 x using holes, vertical and horizontal asymptotes, x and y intercepts?

Answer & Explanation

Holly Schmidt

Holly Schmidt

Beginner2022-09-09Added 10 answers

f ( x ) = - 2 x
y axis intercepts occur where x=0
y = - 2 0 Undefined (Division by zero):
x axis intercepts occur where y=0:
0 = - 2 x
Solving for x
0 x = - 2 0 - 2
No intercepts of x axis:
As x
- 2 x 0
As x -
- 2 x 0
x axis is a horizontal asymptote.
Left hand limit:
lim x 0 - - 2 x
Right hand limit:
lim x 0 + - 2 x -
y axis is a vertical asymptote.
Graph of y = - 2 x
graph{y=-2/x [-10, 10, -10, 10]}

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