ACCHS Vertical Asymptotes Multiplicity & Coordinate Pair Algebra Problems

Algebra 7 simple questions

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Graphing HW #2.6
Name ___________________
Show all work to receive credit.
𝒇(𝒙) =
(𝒙−𝟑)𝟐
𝟔(𝒙−𝟔)(𝒙−𝟏)
a) Determine the equation of the vertical asymptotes of 𝑓(𝑥) and their
multiplicity.
b) State the domain: from part (a) we see that
c) Calculate the y-intercept. State it as a coordinate pair.
d) Determine the equation of the horizontal asymptotes, or state that there
are not any. Show work that explains how you found it/them.
e) Calculate the x-intercepts.
f) Use (a) and (e) to fill out the following chart.
X-intercepts/Zeros Multiplicity Meaning
Vertical
Asymptotes
Multiplicity Meaning
f) Use the collected information to sketch a graph. Find additional points
on the graph as needed. 𝒇(𝒙) =
−(𝒙−𝟑)𝟐
𝟔(𝒙−𝟔)(𝒙−𝟏)