graph

Question

graph

anonymous · Answer

that is a graph

anonymous · Answer

looks like it could be the graph of 
$$y=\frac{x}{x-1}$$ or sommat

anonymous · Answer

no that can't be right, but close 
try 
$$y=\frac{x+1}{x-1}$$
is there a question to go along with this?

anonymous · Answer

ok
clue one
there is a horizontal asymptote at $x=1$ which means the denominator is zero there
that means a good candidate for the bottom is $x-1$

anonymous · Answer

clue two
there is a horizontal asymptote at $y=1$
that means the degree of the numerator is the same as the degree of the denominator
and the ratio of the leading coefficients is 1
that is why i  mistakenly wrote as a first guess 
$$y=\frac{x}{x-1}$$

anonymous · Answer

clue 3
the x intercept is $-1$ so it cannot be 
$$y=\frac{x}{x-1}$$ because that would make the x intercept $0$
so adjust and make it 
$$y=\frac{x+1}{x-1}$$

anonymous · Answer

also that conveniently gives the y inercept at $-1$ since if 
$$f(x)=\frac{x+1}{x-1}$$ then 
$$f(0)=\frac{1}{-1}=-1$$

anonymous · Answer

seems to fit all the bills 
i would go with that one

asnaseer · Answer

yes - it is correct - why did you "feel" unsure about it?