Determine whether y is a function of x. Explain x^2=3y+y
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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?
I know how to make functions and identify them but doesn't it have to only have one answer, correct?
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I don't know with 4y, would I divide by 4 at the end?
That's the idea. Can you demonstrate it? Generally, just solve for y and see if it ever happens.
y = ¼x^2
Any way to get more than one y-value from a single x-value?
What I don't understand your question?
You can only have the domain once but the range can be repeated
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
I used 1 and got y=1/4
I thought it was yes it is a function
This one is a function. It passes the "Vertical Line Test". You don't actually have to draw vertical lines to believe this.