# "Who Has" - Rational Functions

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I have
 y= x+1x-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 include a vertical asymptote at x=4?
I have
 y= (x+1)(x-3)(x-3)(x-4)
Who has
this changed to include a vertical asymptote at x = 2?
I have
 y= (x+1)(x-3)(x-3)(x-4)(x-2)
Who has
the discontinuity removed?
I have
 y= (x+1)(x-4)(x-2)
Who has
a rational function with a vertical asymptote at
x=2 and
an oblique asymptote
at y = x+3?
I have
 y= 1x-2 + x+3
Who has this changed
to include
zeros at x=4 and x=-1
and remove the oblique asymptote?
I have
 y= (x+1)(x-4)(x-2)
Who has
this changed to have a discontinuity at x = -5?
I have
 y= (x+1)(x+5)(x-4)(x+5)(x-2)
Who has a
rational function containing (0,0) and a vertical asymptote at x=2?
I have
 y= 4x(x-2)
Who has
this edited to include a vertical asymptote at x=-4?
I have
 y= 4x(x-2)(x+4)
Who has a function with
3 vertical asymptotes and 2 x-intercepts?
I have
 y= (x-6)(x-4)(x-1)(x+5)(x-2)
Who has
this edited to include 1 discontinuity
and remove an x-intercept?
I have
 y= (x-6)(x-4)(x-4)(x-1)(x+5)(x-2)
Who has
the reciprocal of three less than a number?
I have
 y= 1x-3
Who has
one more than the reciprocal of three less than a number?
I have
 y= 1x-3 + 1
Who has
this with a horizontal asymptote of y = -4 instead?
I have
 y= 1x-3 - 4
Who has
the reciprocal of this increased by 4?
I have
 y= x - 3
Who has
this divided by x + 4?
I have
 y= x-3x+4
Who has
this multiplied by x+2?
I have
 y= (x-3)(x+2)x+4
Who has
a new 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 the discontinuity & then increase the function by 2?
I have
 y= x + 1 + 2
Who has
this decreased by 2 then divided by x-3?

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