Question

Determine whether y is a function of x. Explain x^2=3y+y

Answer 1

Anyone help?

Answer 2

How do you propose to proceed? It is normally good to start with a definition. What is the definition of a function?

Loosely -- Given any x-value in the Domain, do you EVER get more than one y-value?

Answer 3

I know how to make functions and identify them but doesn't it have to only have one answer, correct?

Answer 4

I don't know with 4y, would I divide by 4 at the end?

Answer 5

That's the idea. Can you demonstrate it? Generally, just solve for y and see if it ever happens.

Answer 6

y = ¼x^2

Any way to get more than one y-value from a single x-value?

Answer 7

What I don't understand your question?

Answer 8

You can only have the domain once but the range can be repeated

Answer 9

Substitute a value for x. See what happens.

Can you think of ANY x-value that would EVER result in 2 (or more) y-values?

Example: x^2 + y^2 = 9 If you pick x = 0, you will get two (2) y-values, +3 and -3

Answer 10

I used 1 and got y=1/4

Answer 11

I thought it was yes it is a function

Answer 12

This one is a function. It passes the "Vertical Line Test". You don't actually have to draw vertical lines to believe this.

Good work.