Graphing Rational Functions

What is the domain of the function f(x)=x+1/x^2-6x+8?

all real numbers except 2 and 4

What are the vertical and horizontal asymptotes of f(x)=2x/x-1?

horizontal asymptote at y=2, vertical asymptote at x=1

Which graph represents the function f(x)=(2/x-1)+4?

D

Which graph represents the function f(x)=3x-2/x-2?

D

How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?

NOT {The range of both f(x) and g(x) is all real numbers} NOT {The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6} **probably C**

What are the equations of the asymptotes of the graph of the function f(x)=3x^2-2x-1/x^2+3x-10

NOT {x=3, y=-5, and y=2}

What is the horizontal asymptote of the function f(x)=(x-2)/(x-3)^2?

NOT {y=1}

What is the domain of f(x)=3x/x-1?

all real numbers except 1

Which statement describes the domain of the function f(x)=3x/4x^2-4?

all real numbers except x=-1 and x=1

What is the horizontal asymptote of f(x)=-2x/x+1?

y=-2

Which statement describes the behavior of the function f(x)=3x/4-x

The graph approaches -3 as x approaches infinity.

Which statement describes the behavior of the function f(x)=2x/1-x^2?

The graph approaches 0 as x approaches infinity.

Which function has no horizontal asymptote?

f(x)=2x^2/3x-1

What are the vertical and horizontal asymptotes for the function f(x)=3x^2/x^2-4

horizontal asymptote: y=3 vertical asymptote: x=-2x=2