I must sketch the following function (curve)
f(x)=(2x-1)^2 (x^2-9)
I must show step by step how I got to the answer
Derivatives, critical number and so on

Question

I must sketch the following function (curve)f(x)=(2x-1)^2 (x^2-9)I must show step by step how I got to the answerDerivatives, critical number and so on

David · Accepted Answer

2 2
2
( ) (2 1) ( 9)
I) domain of this function  is (- , )
II)on factorizing
( ) (2 1) ( 3)( 3)
1
 ( ) 0 at 3, ,3 
2
1
also,  ( ) has repeated root at 
2
 graph will cut x axis at x=-3,3 and 
f x x x
f x x x x
Roots
f x x
f x x
hence
  
 
   

  

2
1
touch x axis at x=
2
III) (0) (0 1) (0 9) 9
 graph will cut y axis at (0,

I must sketch the following function (curve) f(x)=(2x-1)^2 (x^2-9) I must show step by step how I got to the answer Derivatives, critical number and so on

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