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

Answer 1

@experimentX

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

where did z come from??

Answer 7

that's "x"

Answer 8

find the maxima and the limit x->inf

Answer 9

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

Answer 10

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