I need algebra help!

I am in serious need of help. I keep hearing all of these terms and I don’t quite understand the difference. What is the difference between domain, range, input, output, value of x, value of y? How do I know what all of these mean when I’m looking at a function or at a table of values? Thanks!

Domain, input, and the value of x are the same. They are the numbers in the first (x) column of a function table. Range, output, and value of y are the same. They are the numbers in the second (y) column of a function table. The domain or input (value of x) gives you the range or output (value of y) for the rule that defines the function table.

X and y is for coordinates
domain a d range is for graphs
and input aNd output is practically every thing above only substittue with diff names

For a function f(x),
the domain is the the set of points on which f(x) is defined
the range is the set of points that map x to f(x)
the codomain is any set that contains the range
x is the input variable
y = f(x) is the output variable

To illustrate further
Let f(x) = 3x + 2
which we can also write as y =3x + 2
Here f(x) is a function describing a straight line of slope 3 and y-intercept 2
Now the domain of x is is the set of "real" numbers which is denoted by the letter R. This is the open set ]-infinity, +infinity[
The set is open because we cannot have x = infinty as an input
(There are other types of numbers that go beyond the set of reals which would take too long to go through)
What this means is that you can "input" any value for x that you like between -infinity and +infinity
Now for any real number x, the output y = f(x) is also a real number
So the range is also R
So the function is composed of three things:
a rule (in this case 3x + 2)
a domain on which f is defined
a range which is the set of mappings from the domain