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Why is y = xto the 2nd power a function and why is x = yto the 6th power not a function? How do you figure? Also, how do I find the domain of each?

2007-02-26 04:11:02 · 2 answers · asked by World Expert 1 in Education & Reference Homework Help

2 answers

y = x^2 is a function because for each value of x there is exactly ONE value for y. But, in
x = y^6, if you let x = 64, for example, you will discover that y can equal 2 or -2. So, since there are two values of y for x = 64, by definition of a function, x = y^6 is not a function.

2007-02-26 04:59:28 · answer #1 · answered by LARRY R 4 · 0 0

you can enter those equations into the y= graph on a calculator (or graph if by hand), and do the vertical line test, where you just draw straight lines that intersect the graph. If a line intersects more than once, its not a function.

2007-02-26 04:26:39 · answer #2 · answered by Alisa 3 · 0 0

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