SOLUTION: Draw the graphs of the following functions. The x- and y-intercepts of each graph should be labeled with their values, any vertex should be labeled with its coordinates. Show each

Question 907200: Draw the graphs of the following functions. The x- and y-intercepts of each graph should be labeled with their values, any vertex should be labeled with its coordinates. Show each vertical or horizontal asymptotes with a dotted line and label it with its intercept value.

a. y =
b. y =
c. y =

if you can't draw the graph please explain how I would find it or what it would look like.
Thanks!
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Although is was not complete, a sufficient response was already given:

http://www.algebra.com/algebra/homework/Functions/Functions.faq.question.906687.html

For part (b), that would simply be the standard model cubic function shifted downward by 8 units. Instead of the inflection point at (0,0), the inflection point moves to (0,-8).

Part (b) graph:

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a.
The x-intercept is ; => => or
so, if => =>
or
if => => => => ...x-intercept is at (,)

and y-intercept: set
=> => ...y-intercept is at (,)

b.

x-intercept: set
=> => => => ...x-intercept is at (,)

y-intercept: set
=> ...y-intercept is at (,)

c.
x-intercept: set

....x-intercept is at (,)

y-intercept: set

...there is no y-intercept

has horizontal asymptote through
-> as ->
vertical asymptote

-> as ->

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