Which term describes the set of all possible output values for a function?A RangeB. Domainc. InputD. Output​

Health · Middle School · Thu Jan 21 2021

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The term that describes the set of all possible output values for a function is A. Range.

The range of a function is the complete set of all possible resulting values of the dependent variable (usually y), after we have substituted the domain. In other words, the range is the output of a function when all the inputs in the domain are evaluated.

Extra: Now to explain this concept in a way that a school student can comprehend:

When we think of a function, it's a bit like a machine that takes something in, does something to it, and then gives something back out.

- The "Domain" is all the things you could possibly put into the machine (input values). - The "Range" is what comes out of the machine (output values). - The "Input" refers to what you actually put into the function. - The "Output" is what comes out after the function has done its work.

For example, consider a simple function like f(x) = x + 2.

1. If you put in the number 3 (input), the function says to add 2, so you get 5 (output). 2. The domain in this case is all real numbers because you can put any real number into the function. 3. The range is also all real numbers because no matter what number you put in, you will get a real number out.

So, for this function, any value you put in (like 1, 2, 3, or even a–1000), once you add 2 to it, you'll get another number out, which is part of the range. The range is the set of all these possible output numbers.

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