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#1 2021-05-06 18:36:06

mathland
Member
Registered: 2021-03-25
Posts: 444

Testing For Functions Represented Algebraically

Determine whether the equation represents y
as a function of x.


1. x^2 + y^2 = 4

2. x^2 − y = 9

Equation 1 represents a circle with radius 4.
I say x^2 + y^2 = 4 does not represent y as a function of x.
A circle is not a function because it fails the vertical line test.

You say?


Equation 2 can be manipulated by solving for y. By doing so,
the equation represents y as a function of x.

You say?

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#2 2021-05-09 04:17:07

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Testing For Functions Represented Algebraically

Yes and yes.


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#3 2021-05-09 10:39:52

mathland
Member
Registered: 2021-03-25
Posts: 444

Re: Testing For Functions Represented Algebraically

Mathegocart wrote:

Yes and yes.

Ok. Very good.

Last edited by mathland (2021-05-09 10:40:48)

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