Hello, bosstycoon,Originally Posted bybosstycoon510

I assume from the title of your post that you want to know the domain and the range of the given functions:

The domain of a function is the set of real numbers which are "allowed" with this function. The range contains all possible numbers of y.

to 1) no restrictions for x, so

all squares are positve or zero.

therefore

to 2)no restrictions for x, so

all squares are positve or zero. Now you add 3 to a pos. number or zero.

therefore

to 3) same as 1)

to 4) same as 1)

to 5) same domain as in 1).

But now you multiply the squares by (-1) so the domain contains only negative numbers or zero:

to 6) same as 1)

to 7) same as 1)

to 8) same domain as in 1).

But now you subtract numbers from 4.

Therefore the range contains all numbers which are smaller or equal 4:

Greetings

EB