What is the domain and range of $y=2^(x-1)+1$ ?

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Answer 1 · 2017-07-27T13:59:50

Domain: $(-oo, +oo)$
Range: $(1, +oo)$

$y = 2^(x-1)+1 = 2^x/2 +1$

$y$ is defined $forall x in RR ->$ the domain of $y = (-oo, +oo)$

$lim_(x->-oo) y = 1$

$lim_(x->+oo) y = oo$

Hence the range of $y = (1, +oo)$

This can be seen by the graph of $y$ below.

graph{2^(x-1)+1 [-7.78, 6.27, -0.74, 6.285]}

What is the domain and range of y=2^(x-1)+1y=2^(x-1)+1?