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stupidinmath Group Title

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

  • one year ago
  • one year ago

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  1. UnkleRhaukus Group Title
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    parabolas that open to the left are right are not functions, they are relations

    • one year ago
  2. UnkleRhaukus Group Title
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    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
  3. stupidinmath Group Title
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    THANK YOU, SO MUCH! ;D

    • one year ago
  4. UnkleRhaukus Group Title
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    i would say that \(x=y^2\) is a quadratic relation though

    • one year ago
  5. UnkleRhaukus Group Title
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    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
  6. UnkleRhaukus Group Title
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    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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