Question

Is the following relation a function?

y equals the sine of 3 x

Yes
No

Answer 1

anybocy minding to help me? @robtobey

Answer 2

do you know what a function is ?

Answer 3

Or do you know any tests the relation must pass to be considered a function?

Answer 4

A function is an expression involving one or more variables

Answer 5

Are you sure that just that is the definition of a function?

Answer 6

yes that was the one i was taught

Answer 7

oh yeah it also relates to an input and output right?

Answer 8

A relation is a function if for every x element of the domain, there is a unique y element of the range assigned to each x.
Example: y=x^2 is a function because each x of the domain is assigned one y value of the range
y^2=x is not a function. Why? when x=1, y=1 or -1. So x is assigned two different y-values here. We can only have one unique y assigned to each element of the domain.

Answer 9

okay

Answer 10

I still need help with the question

Answer 11

Yeah that is what I'm trying to do. In order for you to know how to do the question I think you need to know the definition of a function.

Answer 12

Or at least any tests that come with that function.

Answer 13

so it should be clear from the definition of a function that in order for a relation to be considered a function it must pass the vertical line test.

Answer 14

Does your relation pass the vertical line test?

Answer 15

NO?

Answer 16

I was not yelling srry did note mean to put the caps on

Answer 17

Just curious...Why is your answer no?

Answer 18

Have you graphed y=sin(3x)?

Answer 19

on the graph it is not vertical there are just swirly lines?