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).

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!