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Question 488247: If we choose x from the set of values bigger than 0, is y = x� a function of x? explain
If we choose y from the set of values bigger than 0, is y = x� a function of y? explain
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! y = x^2 makes y a function of x.
the independent variable is x and the dependent variable is y.
x^2 = y makes x^2 a function of y.
the independent variable is y and the dependent variable is x^2.
if we let z = x^2, then:
x^2 = y becomes z = y
z is considered a function of y because it depends on the value of y.
you would solve this like you would solve any equation.
if y = 5, then z = 5
since z = x^2, this means that x^2 = 5.
suppose you had:
x^2 = y-3
x^2 is still a function of y because it depends on the value of y.
if y = 5, x^2 = y - 3 = 5 - 3 = 2
you get x^2 = 2 when y = 5
i believe this to be true, but i won't swear to it.
there may be some rule that says you can't do this, but i haven't seen it.
in practice, you can set anything equal to anything else.
the dependent variable is a function of the independent variable.
the equation determines the value of the dependent variable based on the value of the independent variable.
x^2 is a function of y meets that definition.
the value of x^2 is dependent on the value of y.
the right side of that equation doesn't have to be just y.
it can be any expression involving y.
x^2 = y^3 + 5y - 3 would be an example.
x^2 is a function of y.
when y = 3, x^3 = 27 + 15 - 3 which becomes:
x^2 = 39
Answer by ikleyn(52957)  (Show Source):
You can put this solution on YOUR website! .
If we choose x from the set of values bigger than 0, is y = x� a function of x? explain
If we choose y from the set of values bigger than 0, is y = x� a function of y? explain
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In Math, not all questions, produced by humans, make sense.
Only those questions make sense in Math and deserve discussions that are produced by professionals.
No one professional in Math and no one peer-reviewed textbook
will ask such questions as presented in this post - - - so and THEREFORE,
let's will not speak about their meaning.
A right place for such questions is a garbage bin.
IT IS MY COMPLETE ANSWER, with explanations.
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