is this a function yes or no? x=5y^(2)
What is the definition of a function? Is there a test you know of to tell if something is a function or not?
nope... as it fails the vertical line test and each x value maps to 2 y values |dw:1364589926223:dw|
You need to graph the question; by definition, the line so formed should not cross vertical line more than once. So, it's not.
process of showing the relationship btwn the input and out of a problem.
thank you all of you for all your help!
Yo Yo Conic Sections.
Thamks @Callisto
You can also sometimes see this using algebra. The equation is given with x isolated, but normally standard form of equations has y, or f(x), isolated. If you isolate for y \[y ^{2} = \frac{ x }{ 5 }\]\[\pm y =\sqrt{\frac{ x }{ 5 }}\]\[y = \pm \sqrt{\frac{ x }{ 5 }}\]That plus/minus in from of the y, which happens whenever you "undo" a squared variable, means there are two options, a negative and a positive. If y is a negative number, then it becomes positive when it is squared.
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