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Consider the graph of the function below.  Which statement about the graph below is incorrect?

 

 Mar 13, 2021
 #1
avatar+505 
+1

1. False, because it is not symmetrical across the y axis.

2. Can't tell, because although it seems like it's false, it could be true if you zoom out enough.

3. True, because the graph goes down and then up at 2 points.

4. Can't tell, because although it seems like it's false, it could be true if you zoom out enough (similar to statement 2).

 Mar 13, 2021
 #2
avatar+128053 
+2

1  True......a polynomial  can have an  even degree  but  not  be symmetrical to the  y axis (ex : 4x^2 - 3x ) 

This polynomial has to be  of an even degree because  both endpoint behaviors are "up"

 

2  False...the polynomial  has an even degree....if  the polynomial had a  leading negative coefficient,  both endpoint behaviors would  be "down" 

 

3.  True

 

4  Also True

 

 

cool cool cool

 Mar 13, 2021
 #3
avatar+505 
0

oops, I read for #1 that "the polynomial is even" for some reason. I am so clumsy... good catch CPhill, and I agree with all your answers!

(although I can't really confirm if any of them is correct or incorrect, cuz if you zoom out enough the graph might look different)

 Mar 14, 2021

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