Analyze and graph a cubic function (Question 1, Easy)

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The function f(x) is a cubic function given by:

f(x)=−(x−2)^3 (Difficulty: Easy)

a) Factor f(x)
b) Find all zeros of f(x)⁆ and their multiplicity.
c) Find the domain and range of f(x)
Use the y⁆ intercept, x⁆ intercepts and other properties of the graph of to sketch the graph of f(x)

#GraphCubic #RootsofCubic #CubicFunction

[MrSeezero]

I think your graph for the equation of -(x-2)^3 = f(x) should only have one point of inflection. Your sketch appears to have 2 points of inflection.