y=$$\left| x \right| ^{1/ \left| x \right|}$$
and y=k
will have 4 solutions,
k lies in (a,b)
find minimum value of a and maximum value of b

Question

y=$$\left| x \right| ^{1/ \left| x \right|}$$
and y=k
will have 4 solutions, 
k lies in (a,b) 
find minimum value of a and maximum value of b

anonymous · Answer

@experimentX

experimentx · Answer

??
4 values of k ?? is that multivariate function??

yash2651995 · Answer

nah.. nopes i mean..* will have 4 solution.. lemme correct the question

apoorvk · Answer

I guess what you mean to say is that the function can assume:
$$y = x^{\frac 1 x} ~for~ x<0$$and
$$y = -x^{(\frac {1} {-x})} ~for~ x>0$$

yash2651995 · Answer

^exactly...but 0 included.. modulus function

experimentx · Answer

where did z come from??

yash2651995 · Answer

that's "x"

experimentx · Answer

find the maxima and the limit x->inf

experimentx · Answer

i'm guessing (1,e) ... not sure though ... gotta go

yash2651995 · Answer

yup.. right answer^ 
@experimentx did you do it by graph too? i can't think of any other way..

yash2651995 · Answer

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