- #1

- 55

- 8

I had an equation (eg.

*y =*2

^{x}), and I wanted to get the domain and range. I had said the domain was that {

*x*∈ N} (natural numbers), since it was a sequence, but I got a bit confused on how I was supposed to do the range?

If I just do it from the equation itself, I get {

*y*∈ R |

*y*> 0}, since the powers of positive numbers can only be positive. But if I also included {

*x*∈ N}, I'd get that {

*y*∈ R |

*y*≥ 2}, since the smallest

*x*value possible is 1, and 2

^{1}= 2?

Am I supposed to base the range off of the equation only, or the domain of the

*x*as well? Thanks!!