• Mar 13th 2008, 05:58 PM
needmathshelp1234
Sketch the following function from the description given below.

x= -1 and y= 2 are asymptotes.
The y intercept is 3 and the x intercept is -1.5
As x -> infinity, y -> 2
As x -> negative infinity, y -> 2
As x tends to -1 from below, y -> negative infinity and as x tends to -1 from above, y -> infinity.

Help will be greatly appreciated
• Mar 13th 2008, 07:24 PM
SengNee
Quote:

Originally Posted by needmathshelp1234
Sketch the following function from the description given below.

x= -1 and y= 2 are asymptotes.
The y intercept is 3 and the x intercept is -1.5
As x -> infinity, y -> 2
As x -> negative infinity, y -> 2
As x tends to -1 from below, y -> negative infinity and as x tends to -1 from above, y -> infinity.

Help will be greatly appreciated

As x tends to -1 from below, y -> negative infinity and as x tends to -1 from above, y -> infinity.

From below/above means?

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• Mar 14th 2008, 03:06 AM
needmathshelp1234
maths
i don't no... thats whats on my assignment.. I was hoping someone could make some sense out of it
• Mar 14th 2008, 03:22 AM
mr fantastic
Quote:

Originally Posted by needmathshelp1234
Sketch the following function from the description given below.

x= -1 and y= 2 are asymptotes.
The y intercept is 3 and the x intercept is -1.5
As x -> infinity, y -> 2
As x -> negative infinity, y -> 2
As x tends to -1 from below, y -> negative infinity and as x tends to -1 from above, y -> infinity.

Help will be greatly appreciated

A possible rule might be $y = \frac{A}{x+1} + 2$.

Sub y = 3 and x = 0: A = 1. Therefore:

$y = \frac{1}{x+1} + 2$.

All required features are satisfied by this function. Sketch it.