Question

How can I find the domain and range of 2sin(4x+pi)+3? Logic, please?

Answer 1

as for the range you know that sinx lies between -1 and 1..

Answer 2

so you can use these extreme values to get your range as [1,5]..

Answer 3

Sorry, your last comment lost me ><

Answer 4

what happened Denebel?

Answer 5

joe again d 2 of us.. lol

Answer 6

lolol

Answer 7

joe the domain is all real numbers?

Answer 8

yes

Answer 9

:)

Answer 10

So the general graph of a sin function... makes the range to be between -1 and 1.. yeah.. so does the amplitude of 2 have anything to do with the range?

Answer 11

If it did not have the +3 vertical shift (that is correct right? it is a vertical shift?) then the range would be between -2 and 2?

Answer 12

the amplitude is 1 and it has nothing to do in this question.... you just take the max n min value

Answer 13

yes, you start with [-1,1], that 2 thats multiplying sin will change it to [-2,2]. Then we are adding 3 to all of that, so it will be [-2+3, 2+3] = [1,5], what akshay got :)

Answer 14

if u multiply 2 den yes amplitude is 2.. then it will be [-2,2] joe has done d job though.lol

Answer 15

Oh, I see. So for all sin/cos/csc/sec functions, the domain should be all real numbers, right? Only tan functions is not all real.

Answer 16

right.

Answer 17

er, tan and cot.

Answer 18

cot too

Answer 19

i knew i forgot something lol

Answer 20

lol

Answer 21

Oh okay. Thank you :)