How do you find the intercepts, asymptotes and graph #y = 2^(x/4)#?

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Answer 1 · 2018-05-18T20:16:48

See explanantion

When #x=0# we have #2^0=1#

When #0 < x < 4# then #0<2^(x/4)<1#

When #x < 0# then we have #0<1/(2^(|x/4|))<1#

When #x > 4# then we have # 2^(x/4)>1#

Negative infinity #->lim_(x->oo^(-)) 2^(x/4)->k = 0#

Positive infinity #->lim_(x->oo^(+)) 2^(x/4)->k = oo^(+)#

Tony B