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)