Question
Asked Sep 26, 2019

f(x)=x3-3x2-9x+27 determine the zeros, their multiplicity, and whether the graph will touch or cross the x-axis at each zero. Then, determine the end behavior of the function and sketch a graph of the function. 

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Step 1

Given function:

f(x) x3-3x2 - 9x + 27
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f(x) x3-3x2 - 9x + 27

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Step 2

To Find: Zeros of the function, their multiplicity and the graph.

Now, we factorise to get the zeros.

х3 — 3x2 — 9х + 27 %3D х?(х — 3) — 9(х — 3)
(x2 — 9)(х — 3)
— (х — 3)(х + 3)(х — 3)
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х3 — 3x2 — 9х + 27 %3D х?(х — 3) — 9(х — 3) (x2 — 9)(х — 3) — (х — 3)(х + 3)(х — 3)

fullscreen
Step 3

Thus, the zeros of the given ...

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