Question

Am I Right

Answer 1

for a.) Domain \[(-\infty,-3\]
Range \[(-\infty,0)\]

Answer 2

B.) Domain \[[-6,\infty)\]

Range \[[0,\infty)\]

Answer 3

for c.) Domain \[(-\infty,\infty)\]
Range \[(-\infty,\infty)\]

Answer 4

b and c are good but let's check a again

Answer 5

as a hint: x can be ~anything~ except -3

Answer 6

so all values below -3 AND all values above -3 are in the domain

Answer 7

-3, infinity

Answer 8

good so (-inf,-3) U (-3,infinity) is the domain

Answer 9

for the range it can be anything except y = 0

so all values below 0 and all values above 0

Answer 10

0,infinity

Answer 11

good so (-infinity,0) U (0,infinity)

Answer 12

wait do I have to put U for every one

Answer 13

yes

Answer 14

the U means "union" which means both intervals are included

Answer 15

(technically it's not a U it's ∪ which is a little shorter than a capital U)

Answer 16

but isn't there only one set for domain and range

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @zarkam21
for c.) Domain \[(-\infty,\infty)\]
Range \[(-\infty,\infty)\]
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 18

let me clarify

Answer 19

you don't connect the domain and range with a union symbol

Answer 20

WHere does the u come in

Answer 21

for a, we have to use two intervals to describe the domain

so you would connect these two intervals with a Union symbol

Answer 22

there is no way to describe the entire domain using one set

Answer 23

Yes I understand that the domain and range are two different things and are written separately but what is the second interval that describes it..?

Answer 24

the domain of a is, in words

"all x values below -3"
"all x values above -3"

each of these phrases needs one interval to describe it.

Answer 25

so (-infinity,-3) U (-3,infinity)

Answer 26

okay and range

Answer 27

range = all values below 0 and all values above 0

Answer 28

similar concept to the above

Answer 29

so (-0,infinity)

Answer 30

"all values below 0"
"all values above 0"

consider these two phrases separately and write an interval for each

Answer 31

(0,infinity) u and (

Answer 32

I meant -infinity for below and infinity for above

Answer 33

good, (-infinity,0) U (0,infinity)

Answer 34

that's it for a,b,c

Answer 35

wait for b the range is [-6,infinity) U [-6,-infinty)

Answer 36

your original answer for b was right

Answer 37

we only need one interval to describe the interval of b ("all x values greater than -6")

Answer 38

your original answers for b and c were right, there is no need to change them.

Answer 39

okay so for b domain [6,infinity)
Range [0,infinity)

Answer 40

yes

Answer 41

and c domain (-infinity,infinity)
Range (-infinity,infinity)

Answer 42

good.