SOLUTION: Can you explain why y=x^2 is the graph of a function of x, while x=y^2 is not the graph of a function of x?
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Question 238636: Can you explain why y=x^2 is the graph of a function of x, while x=y^2 is not the graph of a function of x?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In order to be a function, each must match with a single
. In the 1st case, , and there can only be
one for each .
In the 2nd case, , and
Each matches with 2 values of
Here's a graph of each. The curve on the right is not a function
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