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Tag, Which of the following rules represents a function? Welche der folgenden Regeln stellt eine Funktion dar? can you explain why these are called rules?. know about functions but confused here about they call these rules? please, any hinto with the subject/topic at hand. can you refer a tutorial or begin a solution. however way you think it is best, now you know am here to get you to do my homework but to explain the way I should go and the materials available. you can refer german sites too. dont speak much but can read German. Danke im Voraus. Which of the following rules represents a function? Choose an answer |
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123mathe.de/relationen-und-funktionen |
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thank you. Ich melde mich noch!. |
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A "function rule" simply is an equation which defines a function - it describes a functional relationship. is an example for a function rule. is a rule, but its not a function rule, because a function has to be unique (every is assigned just one . Here for we have two possible values for either or . So this rules defines a relation which is not unique and therefore is not a function. Now check your given rules if they define a function (unique relation) or not. |
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I do not understand well, can you provide an example?. Graphing the equations given in Desmos I could see that is the right choice becasue it passes the vertical test, but, they won't let me do it with the graph, how can do it assigning values to what variable, or y? don't really understand your explanation. thanks! |
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can you provide an example?. I did. It was . And, yes, only is a function and what you describe with "vertical test" is exactly what I meant when I wrote that the relation has to be unique to be called a function. At every position there must be no more than just one assigned value. To "see" if the relation is unique without plotting the relation, you would do the plotting in your mind. If you find just one x-value with two or more assigned y-values, than its not a function. For example . You know that . both and simplify to . This means that for there are two possible values for and and this contradicts the characterizing property of a function. |
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I got clearly! I gave a value to - if I get 2 values of for the same then it is not a function. So for the equation . For you can get or 1. So it is not a function. Equation gave me only one value so it's a function. Because there is one y-value for the entered x-value, and only one. then, when Vielen Danke. |