Question

Graph the function:y=3csc[1/2(x-3pi/4)]+5. State the domain and range.

Answer 1

Just wondering, would I graph the function y=sinx, and then apply the transformations from teh function onto that? Once I'm done that, would I then continue on with how I would usually graph y=cscx?

Answer 2

the only place the function is not defined is when cosec x is infinity or sinx is 0

Answer 3

so u can get the domain

Answer 4

also cosec x ranges from -∞ to ∞ . so this function has a range as all real numbers

Answer 5

I'm worried about graphing it though.

Answer 6

oh

Answer 7

better graph cosecx first then the transformations

Answer 8

I'll figure out the domain and range once I get the graph. But what you said, I guess the Range is yEr.

Answer 9

Ok. Graph the original first?

Answer 10

Gimme me a minute. I guess you can do what you want while you're waiting.

Answer 11

done.

Answer 12

my medal

Answer 13

Lol. K.

Answer 14

:P

Answer 15

ok u fine man?

Answer 16

Not yet. I've got the base function, but I'm struggling with dem transformations.

Answer 17

My solution sounds wrong to me though.

Answer 18

try wolhphram and compare ur graph!

Answer 19

Link it?

Answer 20

i cant make it on this site :/

Answer 21

Gimme the link. I'll give it a a look.

Answer 22

Hello?

Answer 23

ok wait

Answer 24

i m helping 3 ppl and discussing a question with 3 others

Answer 25

so its diff

Answer 26

:P

Answer 27

Gotcha.

Answer 28

http://www.wolframalpha.com/input/?i=%3Ay%3D3csc%5B1%2F2%28x-3pi%2F4%29%5D%2B5

Answer 29

Thanks man.

Answer 30

anything for you :P

Answer 31

Great. Nice to know I've got support.

Answer 32

Wait. The x-line thing; could I changethat to radians/pi?

Answer 33

why?

Answer 34

It's how I learnt to do it. The teacher asks us to do it in radians too.

Answer 35

u can change it