- #1
xpeteyzx
- 11
- 0
Hello,
I have a problem that has me stumped, please help.
Question:
Find the equations of the asymptotes of the following fractional functions., and then, draw the graph and label x- and y-axis points of intersection.
The equation:
y= x/(x + 1)
My try at it:
I first divided x by (x + 1) to get the equations of the asymptotes:
x=-1, y=1 from y= 1 + 1/(x+1).
Then I drew the asymptotes equations on the graph:
https://docs.google.com/drawings/d/1p2Lfkqab9qAVxzx9z0LFyWAm8-WeoP30yBSn9bHsDKM/edit (red is the asmptotes equations, black is the graph).
Then I got stumped at the points of intersection with the x-axis:
x-axis: (?, 0)
y-axis: (0, 2)
I got the y-axis by substituting 0 in for x in the previous equation:
y = 1 + 1/(x + 1)
y = 1 + 1/(0 + 1)
y = 1 + 1/1
y = 1 + 1
y = 2
But for x:
y = 1 + 1/(x+1)
because if I do negative one:
0 = 1 + 1/(-1+1)
0 = 1 + 1/0
0 = 1 is incorrect.
I have a problem that has me stumped, please help.
Question:
Find the equations of the asymptotes of the following fractional functions., and then, draw the graph and label x- and y-axis points of intersection.
The equation:
y= x/(x + 1)
My try at it:
I first divided x by (x + 1) to get the equations of the asymptotes:
x=-1, y=1 from y= 1 + 1/(x+1).
Then I drew the asymptotes equations on the graph:
https://docs.google.com/drawings/d/1p2Lfkqab9qAVxzx9z0LFyWAm8-WeoP30yBSn9bHsDKM/edit (red is the asmptotes equations, black is the graph).
Then I got stumped at the points of intersection with the x-axis:
x-axis: (?, 0)
y-axis: (0, 2)
I got the y-axis by substituting 0 in for x in the previous equation:
y = 1 + 1/(x + 1)
y = 1 + 1/(0 + 1)
y = 1 + 1/1
y = 1 + 1
y = 2
But for x:
y = 1 + 1/(x+1)
because if I do negative one:
0 = 1 + 1/(-1+1)
0 = 1 + 1/0
0 = 1 is incorrect.