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function and graph
by subhadip mitra - Friday, 16 October 2009, 08:16 PM
  the reflection of the graph of a function f(x) with respect to a line
l is obtained by treating the lne as a mirror, being exactly halfway
between each point of f(x) and its reflection.

 An operation R(f(x),l) is defined for the graph of any given
function f(x) to yield the graph of a new fumtion g(x) such that
g(x)=|h(x)| is the reflection of f(x) with respect to the line l.


1)If f(x)=|x| and l is y-1=0 then find the number of points at which
the graph of R(R(f(x),l,l) touches the x axis.

2)if f(x)=x,l1 is x-1=0 and l2 is y+1=0,then which of the following is
true of R(R((f(x),l1),l2)?

a)it has min value at -2
b)it has min value at -1
c)it has min value at  2


3)If f(x)=4-2x,and l is y-2=0,find ther area enclosed by R(f(x),l) and
the line y-2=0


I am not understanding the nature of reflection sometimes it is upward
and sometimes downward.
please solve these qs

thanks
Re: function and graph
by Amit Gandhi - Thursday, 12 November 2009, 12:42 AM
 

what are the answers?

mine are

1) 1

2) a

3)1

 

Re: function and graph
by soumya bhattacharya - Monday, 23 November 2009, 04:48 PM
 

mine are

1) 3

2) c

3) 2

Re: function and graph
by Bishweshwar Pradhan - Sunday, 6 December 2009, 12:42 AM
  Can you explain the Q2. for your answer ?
Re: function and graph
by Prabhat Agarwal - Tuesday, 15 December 2009, 01:30 PM
  mine answer is 3
Re: function and graph
by Puja Sharma - Saturday, 27 March 2010, 12:29 AM
  1) reflection is nothing but mirror image.
the graph of |x| is v shaped with vertex on Y axis. since the line of reflection is y=1,
the reflection of its reflection will be the original image.
So, for 1) my answer id 0.

2)my answer is -1
3) my answer is 3

Do tell me if my answers are correct
Re: function and graph
by Debasish Sahu - Saturday, 2 July 2016, 01:51 PM
  0,c,1