Asked by AJ
True or False.
1. Every function is a relation.
2. When you switch the inputs and outputs of any function, the resulting relation is a function.
1. Every function is a relation.
2. When you switch the inputs and outputs of any function, the resulting relation is a function.
Answers
Answered by
Damon
I suppose a function is a relation
However if you switch inputs and outputs of a function (take the inverse) you may not get a function. For example y = sin x is a function. There is a y for every x. However for any y between -1 and + 1 there are an infinite number of x values, so if you input x = 0 for example you get y =0, pi (180 deg), 2 pi, 3 pi, etc
However if you switch inputs and outputs of a function (take the inverse) you may not get a function. For example y = sin x is a function. There is a y for every x. However for any y between -1 and + 1 there are an infinite number of x values, so if you input x = 0 for example you get y =0, pi (180 deg), 2 pi, 3 pi, etc
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