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Which answer describes the function f(x)=2x3−x2?

A. Odd

B. Even

C. Neither

 

For which interval is the function constant?          

A. (0, 2)

B. (−∞, 0)

C. (2, 6)

D. (6, ∞)

Guest Feb 4, 2018
 #1
avatar+89775 
+1

If it's even....then

 

f(-x)  =  f(x)

 

So  f(-x)  =  2(-x)^3 - (-x)^2    =  -2x^3 - x^2   but this does not =  f(x)

 

If it's odd....then  f(-x)  = - f(x)

 

And  - f(x)     =     -[2x^3  - x^2]  =  -2x^3 + x^2    but  this doesn't = f(-x)  

 

So.....neither 

 

 

 

The function doesn't  "rise" or "fall"  from (2, 6 )  ....so it's constant here

 

 

 

cool cool cool

CPhill  Feb 4, 2018

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