Question

helppp pleaseeee @ash2326 @marylou004 @pgpilot326

Answer 1

@divagirl421 Do you know what range of a function means?

Answer 2

yes

Answer 3

What is it?

Answer 4

1) Divagirl421 Please show your work. Don't TELL us you know something, SHOW us.
2) Can the range be known? It's not perfectly clear to me what happens as x increases.

Answer 5

the set of all values of the function

Answer 6

Right so in other words its set of all the values of...x ... or of y...which one?

Answer 7

the x

Answer 8

?

Answer 9

Values of the Function - Those are the y-values.

Answer 10

Ok there is part of the problem...the domain is the set of x values and the range is the set of y values. That is an important thing to remember.

Answer 11

ooo yea ok

Answer 12

so domain=x values
range=y values

Answer 13

Yep ...don't forget that...remember that domain comes before range alphabetically just like x comes before y alphabetically.

Answer 14

Now lets look at your curve. What is the smallest y value?

Answer 15

i think its 3

Answer 16

Good ... now does it actually touch the value of y =3 or does it get right up to it but not quite touch it?

Answer 17

it dont really touch but its close

Answer 18

Good job! That is exactly correct now what is the largest y value for the curve?

Answer 19

is it 4?

Answer 20

No... what does that arrow on the end of the curve mean?

Answer 21

isnt it like around 7 , 6?

Answer 22

Hang on ... What does the arrow on the curve mean though?

Answer 23

i think it means it goes on

Answer 24

Exactly... so now if it is going on forever...does it stop going up or is it very very slowly continuing to go up forever?

Answer 25

its continuing

Answer 26

Exactly so if it keeps going up forever, what is its highest y value?

Answer 27

all the values?

Answer 28

Well all values bigger than what?

Answer 29

ok im confused now

Answer 30

is it all the real numbers?

Answer 31

No no you are doing great. You said the smallest value of y is 3 (or almost 3) and the largest value goes up forever right?

Answer 32

yes

Answer 33

Ok so now one more thing to consider does the graph seem to touch all values from 3 (or almost 3) up to inifinity or is there a break in the curve any where above y=3?

Answer 34

almost 3

Answer 35

Right but from there on up are there any breaks?

Answer 36

no

Answer 37

Great then we know that the range is every number great than 3 not including 3...right?

Answer 38

yes

Answer 39

Good now what is the range representing again... x or y?

Answer 40

y

Answer 41

Yep so mathematically how do you write y is all values bigger than 3 (not including)

Answer 42

i think its y<3?

Answer 43

That says y is less than 3 (remember the sign "eats" the larger number) do you think y is larger than 3 or is 3 larger than y?

Answer 44

y is larger

Answer 45

So how would you write the inequality then?

Answer 46

y>3?

Answer 47

You got it! I am proud of you for sticking with it on this problem. Just a few key thing s to remember. Domain is x and range is y.

Answer 48

yayyy thank you sooo much:)

Answer 49

:-)