﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.02,0:00:04.05,Default,,0000,0000,0000,,So, we talked about domain, we've talked about range, we've talked about how we Dialogue: 0,0:00:04.05,0:00:08.20,Default,,0000,0000,0000,,can impose domain restrictions on functions, depending on the situations in the Dialogue: 0,0:00:08.20,0:00:12.16,Default,,0000,0000,0000,,real world that they're involved in, and we've talked about overall function Dialogue: 0,0:00:12.16,0:00:15.80,Default,,0000,0000,0000,,behavior. However, I still want to dig deeper. Let's take a look at this Dialogue: 0,0:00:15.80,0:00:20.09,Default,,0000,0000,0000,,function, g of x equals the square root of x. Now remember, that we just have a Dialogue: 0,0:00:20.09,0:00:24.38,Default,,0000,0000,0000,,radical sign and no sign in front of it, it's implied that this is the positive Dialogue: 0,0:00:24.38,0:00:28.19,Default,,0000,0000,0000,,square root, this is not a plus or minus thing. Let's take a look at the graph Dialogue: 0,0:00:28.19,0:00:32.04,Default,,0000,0000,0000,,of this function. So, here's our graph of g of x equals the square root of x. Dialogue: 0,0:00:32.04,0:00:36.44,Default,,0000,0000,0000,,Now, I could describe its behavior by saying that it's increasing from 0 to Dialogue: 0,0:00:36.44,0:00:41.14,Default,,0000,0000,0000,,infinity. But let's think back to the domain. So, what do you think the domain Dialogue: 0,0:00:41.14,0:00:44.16,Default,,0000,0000,0000,,of g of x is? All numbers between what and what?