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are parabolas that open to the right / left quadratic functions too?
 one year ago
 one year ago
are parabolas that open to the right / left quadratic functions too?
 one year ago
 one year ago

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

UnkleRhaukusBest ResponseYou've already chosen the best response.1
a 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
 one year ago

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

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

UnkleRhaukusBest ResponseYou've already chosen the best response.1
kinda 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
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
These 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
 one year ago
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