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60. Writing Suppose 3, -1, and 4 are zeros of a cubic polynomial function. Sketch a graph of the function. Could there be more than one graph? Explain.

 Feb 18, 2019
 #1
avatar+98126 
+4

We have   one possibility which is

 

P(x) =  (x - 3) ( x + 1) (x - 4)

Another one could be

P(x) = -(x - 3) (x + 1) (x - 4)

 

See the graphs of each, here : 

 

https://www.desmos.com/calculator/8nnalbmudb

 

 

cool cool cool

 Feb 18, 2019
edited by CPhill  Feb 18, 2019
edited by CPhill  Feb 18, 2019
 #2
avatar+1674 
+2

Wait why is there another possibility of a cubic polynomial function? Is there a different way that makes another graph?

GAMEMASTERX40  Feb 18, 2019
 #3
avatar+98126 
+4

Remember that the second function....because of the "-" out front... just "flips" (reflects) the first graph over the x axis

 

But....the zeroes for the second polynomial are just the same as those of the first one....

 

 

cool cool cool

CPhill  Feb 18, 2019

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