What is the Domain and range of y = 2 x - 11 + 2

Step-by-step explanation:

the domain is the set or range of valid values for x.

the range is the set or range of valid values for y (= f(x)).

if you did not miss anything in your problem statement, then I see a function

y = 2x - 11 + 2

no restrictions are defined.

so, domain and range are both the interval

(-infinity, +infinity).

notice the round brackets, as "infinity" is never a value and cannot be included in an interval.

now, if you missed a division sign and the function looks like

y = 2/x - 11 + 2

then we know, x must never be 0, as a division by 0 is undefined.

so, the domain in that case would be

-infinity < x < 0, 0 < x < +infinity

or short

x <> 0

the range would still be every possible value in

(-infinity, +infinity).