Horizontal Asymptotes
Vertical Asymptotes
Graphs
Transformation
Mystery
100
Does this have a horizontal asymptote if so what is it?
f(x)=(x+2)/((x-3)(x+4)
yes, y=0
100
Does this have any vertical asymptotes if so what are they?
f(x)=(x-2)/((x-4)(x+3))
x=4, x=-3
100
f(x)>0 
(-infty,-1)cup(-1,2)cup(3,infty)
100
What is the transformation?
f(x)=1/(x+4)-2
left 4, down 2
100
What is the domain of this
(x+3)/(x^3-81x)
{x|x!=0,x!=9,x!=-9}
200
Does this have a horizontal asymptote if so what is it? f(x)=((x+7)(x-2))/(3x^2+6x-4)
yes, y=1/3
200
Does this have any vertical asymptotes
if so what are they?
y=(x-1)/((x+4)(x-4))
x=4, x=-4
200
When is f(x)le0
[-3,1]cup[3,infty)
200
What was the transformation?
Right 1 Up 3
200
What is the domain?
f(x)=(-3x(x+8))/(2x^2-x-15)
{x|x!=3,x!=-5/2}
300
Does this have a horizontal asymptote if so what is it?
f(x)=((x-4)(x+6))/(x+9)
There are no horizontal asymptotes.
300
Does this have any vertical asymptotes if so what are they?
f(x)=((x-4)(x+5))/((x-4)(x+6))
x= -6
300
Graph
f(x)=(x+1)/(x^2-9)
300
Write the equation for a graph that has a parent graph of y=1/x and is translated
3 units up and 6 units to the left.
y=1/(x+6)+3
300
What is the horizontal asymptote of the graph?
y=3
400
Write an equation with a horizontal asymptote y=-2.
Answers may vary. Degree on the top and bottom must be the same and the ratio of the leading coefficients must be -2
400
Does this have any vertical asymptotes if so what are they?
f(x)=(x+1)/(2x^2+5x+3
x=-3/2
400
What is the domain and range of the following graph?
Domain
{x|x!=4}
Range
{y|y>0}
400
Write the equation for the following graph.
f(x)=1/(x-2)-4
400
What are the x-intercepts?
If none write none.
(x^2-5x-14)/(x^2+9)
(7,0) and (-2,0)
500
If a function doesn't have a horizontal asymptote
what might it have and
how would you find it?
It might have an oblique asymptote and you would divide the top polynomial by the bottom to find it.
500
Are there holes in the graph of f(x)? If so what are they?
f(x)=(x^2+x-2)/(3x^2+x-10)
(-2,3/11)
500
When is f(x)>0
f(x)=(x-3)(x+6)^2
(3,infty)
500
Graph a function that has a parent graph f(x)=1/x and does the following transformation. Reflects the x-axis, up 5, left 2
500
What is the equation of the following graph?
y=2-1/x