Question

True or false?
The range of y = sinx is the set of real numbers.

Answer 1

https://www.desmos.com/calculator/gqrjalkm1g

Answer 2

I think it is false, because f(x)=sin x, is a function that has the subsequent natural limits:
\[-1\le \sin x \le +1\]

Answer 3

@TrapBoiTrynaEducaate please, note that our question is about the range of sin x, not the domain of sin x

Answer 4

yes true

Answer 5

well either way michele the answer is : True

Answer 6

range is the values that y can take and domain is the values of x, so it is true @mudwagaman9

Answer 7

@TrapBoiTrynaEducaate please note that sin x = 2, for example is impossible, because there is no x belonging to R such that sin (x)=2

Answer 8

hey man read the question carefully n u'll get it...

Answer 9

@Michele_Laino

Answer 10

I think someone else needs to read the question. The statement is false. The range is not all real numbers.

Answer 11

@SolomonZelman that's right! It is what I said!

Answer 12

Well, as long as the questioneer understands I am good.

Answer 13

they never said all the real numbers ...
they said set of real numbers.... @Michele_Laino

Answer 14

@SolomonZelman

Answer 15

LOL

Answer 16

[-1,1] is a set not all the real numbers (-R,R)

Answer 17

but this is every function like that, then.

Answer 18

@princeharryyy sorry the set of real number, namely
\[\mathbb{R} \]
means all real numbers, do you agree?

Answer 19

Perhaps,
but if it is what you are saying, princeharryyy, then, asides from horizontal line, it is true for any f(x).

Answer 20

ohh i can correct myself here it is R but the answer still remains true

Answer 21

that makes the question silly though.