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Determine whether the equation defines y as a function of x. `7x^2+3y^2=1`
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High School Teacher
First we will have to isolate y on the left side.
`==gt 7x^2 + 3y^2 = 1`
` ==gt 3y^2 = 1- 7x^2 `
`==gt y^2 = (1-7x^2)/3 `
`==gt y= +- (1-7x^2)/3`
`` Now we notice that we have two possible values to y for each value of x.
Therefore, we have two images for the value of x ( positive value and negative value.
For example, if x= 1 ==> y= 2 and y= -2)
Then, y is NOT a function of x.
Or, we can graph y and test the vertical line.
Posted by hala718 on August 20, 2012 at 4:46 PM (Answer #1)
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