What are the domain and range of the function?

Question

f(x)=2^x+1

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Answer 1 · 2017-07-19T14:38:53

Domain is $(-oo,oo)$ and range is $(1,oo)$

As $2^x$ is defined for all values of $x$ ,

domain is $x inRR -> (-oo,oo)$

However for $x->-oo$ $f(x)=2^x+1=0+1=1$

and for $x->oo$ $f(x)=2^x+1->oo$

Hence range is $(1,oo)$

graph{2^x+1 [-26.92, 13.08, -0.96, 19.04]}