Question 1050162
 explain how to determine whether the equation defines Y as a function of X: 
1. 6x+3y^2=7
6x = -3y^2+7
x = -(1/2)y^2 + (7/6)
Parabola opening to the left.
Not a function.
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2. square root (6x) +y=5
y = -sqrt(6x) + 5
Defined for x >= 0
As x gets larger y just gets more and more negative.
{{{graph(400,400,-10,100,-100,10,-sqrt(6x)+5)}}}
Is a function
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3. 5x^2+y^3=27
y = (-5x^2+27)^(1/3)
{{{graph(400,400,-10,10,-10,10,(-5x^2+27)^(1/3))}}}
Cubics tend to be functions.
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4. 4x+ IyI=3
Is that the "greatest integer" symbol?
If so, it looks like a step-function.
Is a function
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Cheers,
Stan H.
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