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UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1parabolas that open to the left are right are not functions, they are relations

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1a function can only have a single output for the each input a test for this is the vertical line test, which say that on the graph of a relation, if any vertical line touches the line of the relation at more than one place the the relation is not a function dw:1356789558553:dw

stupidinmath
 one year ago
Best ResponseYou've already chosen the best response.0THANK YOU, SO MUCH! ;D

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1i would say that \(x=y^2\) is a quadratic relation though

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1kinda similar is \[y=\sqrt x\] dw:1356789914537:dw which only has one output for each input and thus passes the vertical line test so \[y=\sqrt x\] is a function

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1These relations are different so you'll have to remember to be carful if you want to rearrange the first relation \[y^2=x\]\[y=+\sqrt x,\sqrt x\]\[\quad=±\sqrt x\] which is clearly not a function as it has two values for most inputs
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