
this changed to include a discontinuity at x = 3?  

this changed to include a vertical asymptote at x=4?  

this changed to include a vertical asymptote at x = 2?  

the discontinuity removed?  

a rational function with a vertical asymptote at x=2 and an oblique asymptote at y = x+3?  

to include zeros at x=4 and x=1 and remove the oblique asymptote?  

this changed to have a discontinuity at x = 5?  

rational function containing (0,0) and a vertical asymptote at x=2?  

this edited to include a vertical asymptote at x=4?  

3 vertical asymptotes and 2 xintercepts?  

this edited to include 1 discontinuity and remove an xintercept?  

the reciprocal of three less than a number?  

one more than the reciprocal of three less than a number?  

this with a horizontal asymptote of y = 4 instead?  

the reciprocal of this increased by 4?  

this divided by x + 4?  

this multiplied by x+2?  

a new function with the same vertical asymptotes but w/a zero at x=1?  

this changed to include a discontinuity at x=4?  

this changed to remove the discontinuity & then increase the function by 2?  

this decreased by 2 then divided by x3? 