SOLUTION: our teacher asked us to consider this relation below:
A = { (x, y) ∈ ℝ^2 ∶ y^3 = x^2 }
Is A a function of x on ℝ?
*please note R is the symbol for
Algebra ->
Functions
-> SOLUTION: our teacher asked us to consider this relation below:
A = { (x, y) ∈ ℝ^2 ∶ y^3 = x^2 }
Is A a function of x on ℝ?
*please note R is the symbol for
Log On
Question 938601: our teacher asked us to consider this relation below:
A = { (x, y) ∈ ℝ^2 ∶ y^3 = x^2 }
Is A a function of x on ℝ?
*please note R is the symbol for real numbers
After considering it i don't think it is a function as the square root of a negative number does not exsist as a real number ?
so would this not be a function of x on R? or is my thinking in correct or is this relation in fact a function?
An explanation would be greatly appreciated thank you Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! If you solve for y, you get and this is definitely a function because each input produces EXACTLY ONE output.
Visually, the graph of passes the vertical line test. So it is a function.
Side Note: the two pieces that are different colors are actually the same graph. I had no other choice but to graph it in two pieces like this.
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