Question

What are the domain and range of the function?

f(x)=2^x+1

Answer 1

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

Explanation:

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]}