
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 y1=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 x1=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)=42x,and l is y2=0,find ther area enclosed by R(f(x),l) and
the line y2=0
I am not understanding the nature of reflection sometimes it is upward
and sometimes downward.
please solve these qs
thanks
