Another easy way to think of range is the highest value minus the lowest value. For b, the highest value is -40 and the lowest value is -163. So -40 -(-163)=123 degrees. For c, the highest value is 83 and the lowest value is -152. So 83-(-152)=235 degrees More on reddit.com

Domain is what goes in, range is what comes out. Domain is x, range is y. Domain is left to right, range is bottom to top! Have an example of where you're confused? More on reddit.com

Well, you're talking about functions. A function takes some input and provides some output. The input could be anything, and the output could also be anything; it depends on the function. In math you use numbers, but you could use real life examples too. For example: let's say you go to an arcade. And let's say that at this arcade you can use nickels and dimes in the machines, but not pennies, and not quarters. And for every nickel you get 1 minute of play time and for every dime you get 3 minutes. Well in this silly example, the function is a translation of money -> time. In this function, the domain (allowed input) is a nickel or dime. And the range (possible output given the allowed input) is 1 or 3 minutes of play time. So even though a penny and a quarter is money, it's still not a part of the domain because the machines do not take that type of input. Likewise, there is no input that could ever provide exactly 2 minutes of playtime- its either 1 or 3 and that's it. Therefore, 2 minutes is not a part of the range. I suspect that when you say inequalities you're talking about "solving for x". Once you find x, what you're left with is literally the range, or rather, every valid output for a function. A very simple example is x > 3. This means every number larger than 3 is valid, but everything else is non-sensible (invalid), in the same way that the arcade machine example above you can never buy exactly 2 minutes of play time... it only supports 1 or 3 minutes; no other options. More on reddit.com