Question

Is the following relation a function?

y equals the sine of 3 x

Answer 1

A.Yes
B. No

Answer 2

Do you know the definition of a function?

Answer 3

involving one or more variables ?

Answer 4

Involving any number of variables. In your case, one is fine.

Answer 5

okay so since I see variables in the problem can it YES THEN ?

Answer 6

Oh, no, no. That's not the definition of a function.

Answer 7

sorry fr captions *be yes then ?

Answer 8

im lost so how would I find the answer ?

Answer 9

Here: the definition of a function is a relation that inputs a variable and outputs exactly one variable for each input. For example, if I call our function \(f\) and say that it has one input (say, zero) and for that input, it outputs a 1, then it is a function.

Answer 10

A counterexample is the following:

Say I have some relation \(f\) that takes one as an input and outputs both 2 and 3. That is NOT a function, since it doesn't output one unique value per input.

Answer 11

okay i see

Answer 12

this is the problem tough

Answer 13

*though