3ok i have mistaken that the {x} as x.
e{x}=e{y}
Give the graph of this function and give the complete explanation of why this is possible!
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36 Answers
11For example,
0.5 can be {2.5} or {4.5} and so on. Similarly, 0.7 can be ....... [4]
62I want the complete proof..
can u always equate x=y
if f(x)=f(y)???
That is what i am looking for!!!
I mean just because |x|=|y| you cant say x=y
so how can u justify that here...
I guess i have given more than the hint for this question!
11I don't know the formal proof, but that was how got the graph.
But I'll give it a try [4]
e{x}=e{y} implies that {x}={y} which means that the decimal part of both are the same. But it doesn't mean that the integral part of both are same too. So, for a given x there is a y such that y=z+{x}, z ε Z which satisfies the given relation {x}={y}.
This is because {y}=z+{x}-[z+{x}]
=z+{x}-z
={x}
[4][4][4]
62e{x}=e{y} implies that {x}={y}
How *not a very difficult one..
Most of the work is done to be true.. and u are right! except this small point..
11e^x is a bijective function. So e^{x}=e^{y} implies {x}={y}
11{y}={x}
=> y=x+c where c is an integer
So all straight lines with slope 1 and integral y-intercepts form the graph [1]
Puriyudha?
62unique, lets take a point on ur graph x+y=2
say x=0.1 and y=1.9
does it satisfy the graph above?
62{} is the fractional part.
sankarapar.. this is not the correct graph!