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Mathematics
General Math
Finding the range of an equation with domain restrictions?
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[QUOTE="Cheesycheese213, post: 6174161, member: 617291"] I got a bit confused on how I'm supposed to do restrictions on an equation? I had an equation (eg. [I]y = [/I]2[SUP][I]x[/I][/SUP]), and I wanted to get the domain and range. I had said the domain was that {[I]x[/I] ∈ 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 {[I]y[/I] ∈ R | [I]y[/I] > 0}, since the powers of positive numbers can only be positive. But if I also included {[I]x[/I] ∈ N}, I'd get that {[I]y[/I] ∈ R | [I]y[/I] ≥ 2}, since the smallest [I]x[/I] value possible is 1, and 2[SUP]1[/SUP] = 2? Am I supposed to base the range off of the equation only, or the domain of the [I]x [/I]as well? Thanks! [/QUOTE]
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Mathematics
General Math
Finding the range of an equation with domain restrictions?
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