"Who Has" - Rational Functions

For instructions go to: www.mathnstuff.com/papers/games/whohas/whointr.htm
I have
y=
x+1
x-3
Who has
this changed to include a discontinuity at x = 3?
I have
y=
(x+1)(x-3)
(x-3)
Who has
this changed to remove the discontinuity?
I have
y= x+1
Who has
this changed to include a vertical asymptote at x = 2?
I have
y=
x+1
x-2
Who has
this edited to change the horizontal asymptote to y = 3?
I have
y=
x+1
x-2 		+3
Who has
this edited to change the asymptote to
y = x+3?
I have
y=
x+1
x-2 		+ x+3
Who has
this changed to include a zero at x=4 and remove the oblique asymptote?
I have
y=
(x+1)(x-4)
(x-2)
Who has
this changed to have a discontinuity at x = -1?
I have
y=
(x+1)(x-4)
(x+1)(x-2)
Who has
this edited to remove the discontinutiy?
I have
y=
(x-4)
(x-2)
Who has
this edited to include a vertical asymptote at x=-4?
I have
y=
(x-4)
(x-2)(x+4)
Who has
this edited to include a discontinuity at x = 2 and a horizontal asymptote at y=1?
I have
y=
(x-2)(x-4)
(x-2)(x+4) 		+ 1
Who has
this changed to have no discontinuities?
I have
y=
(x-4)
(x+4) 		+ 1
Who has
this horizontal asymptote?
I have
y= 1
Who has
the function with this asymptote and a vertical asymptote at x=3?
I have
y=
1
x-3 		+ 1
Who has
this with a horizontal asymptote of y = 0 instead?
I have
y=
1
x-3
Who has
the reciprocal of this?
I have
y= x - 3
Who has
this divided by x + 4?
I have
y=
x-3
x+4
Who has
this multiplied by x+2?
I have
y=
(x-3)(x+2)
x+4
Who has
a function with the same vertical asymptotes but w/a zero at x=-1?
I have
y=
(x+1)
(x+4)
Who has
this changed to include a discontinuity at x=-4?
I have
y=
(x+1)(x+4)
(x+4)
Who has
this changed to remove this discontinuity & then increase the function by 2?
I have
y= x + 1 + 2
Who has
this decreased by 2 then divided by x-3?
© 2005, A2, www.mathnstuff.com/papers/games/whohas/rationl.htm
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