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Question

The graph of a quadratic polynomial f(x) is shown below 


Which of the following options is/are correct? 
  1. f(6)>0 
  2. f(3)>0   
  3. f(0.5)<0 
  4. f(1)=f(5) 


Solution

The correct options are
A f(6)>0 
C f(0.5)<0 
D f(1)=f(5) 

From the given graph, we can conclude that zeroes of the quadratic polynomial f(x) are 1,5.

(1) f(x)>0x(,1)(5,)
(2) f(x)<01<x<5
(2) f(x)=0x=1,5
 

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