Question

For the given graph, find
(a) the domain
(b) the range
(c) the x-intercept(s)
(d) the y-intercept(s)
(e) the graph’s symmetry (x-axis, origin, y-axis, or none of these)
(see attached graph)

Answer 1

do you know what domain and range are?

Answer 2

not really

Answer 3

the domain is the range of x values that are legal

Answer 4

in this case all X values are legal, so the domain is all real numbers

Answer 5

the range is the valid Y values. in this case you can see that it goes down to -0.5 and then goes back up so the only possible Y values are -0.5 to plus infinity

Answer 6

ok so that would be written (-0.5, + infinity) ?

Answer 7

yep

Answer 8

i have no idea what i am doing

Answer 9

it's ok

Answer 10

sorry :(

Answer 11

so the X intercept is where the graph crosses the X axis

Answer 12

so that's probably easy to see from just looking at the graph

Answer 13

1,0 ?

Answer 14

yes, that's one of them, but there's a second one

Answer 15

-1, 0 ?

Answer 16

BANG! direct hit! see, you totally know what you're doing

Answer 17

OK now on to the Y intercept. that's where it intercepts the Y axis

Answer 18

:)

Answer 19

y would be -0.5, 0 ??

Answer 20

you're really close

Answer 21

remember that -0.5, 0 would be something lying on the x axis, slightly left of the origin

Answer 22

so then it would be 0, -0.5 ?

Answer 23

BANG! Another direct hit! You are destroying your math homework.

Answer 24

lol-

Answer 25

OK now for symmetry. Where can you fold the graph in half and have the two halves touch each other?

Answer 26

i think the y axis?

Answer 27

yes!

you=awesome

Answer 28

lol- you make me laugh. lol

Answer 29

if I can ask, what grade/level are you in?

Answer 30

i think i missed the domain part?

Answer 31

im first year college

Answer 32

but i have not been in school for many years. lol

Answer 33

domain is the list of valid x values, which in this case would be all of them: -infinity to +infinity

Answer 34

ok so that would be written (-inf, +inf) ?

Answer 35

that's one way to write it, or you can use the infinity symbol
\[(-\infty, \infty)\]

Answer 36

ok awesome. Thank you so much for helping me.

Answer 37

you're welcome

Answer 38

thanks. where do you go to college?

Answer 39

have a great night! :)

Answer 40

im doing online at south univ- im in allied health science for associates in nursing

Answer 41

very nice! the world needs more nurses.

Answer 42

yes absolutely! You explained this well. I guess Ive made this harder than it really was. lol

Answer 43

haha it's okay, it's just a first step

Answer 44

:)