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There are activities asking me to solve problems, and I have a book of exercises to do, but the main book supposed to be designed to give some information to the student to gain an insight into understanding is somewhat very poorly presented

What seems to be very confusing to me at the moment is the interpretation of the notation used.

example.

If y = x^2, then

x is the input, which is then processed to become x^2.

So y(x) = x^2 I think?

y is the function

x is the domian

x^2 is the rule

Have I got this right so far?

if

f(x) = x^2 + 1 (0

__<__x

__<__6)

I understand inequalities so this does not require explaining, but in this example the domain is (x), the rule is x^2 + 1, and the inequalities in brackets with real numbers are used in (x) are they?

f(0) = 0^2 + 1, or

f(6) = 6^2 + 1, or is it 0

__<__6 in other words the domain can be any number between 0 to 6 used in the rule?

If somebody could please advise if I am understanding the above correctly or not would be much appreciated as I can't get this from my coursebook because there is no worked examples or explanations.

Thanks