Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
1 answer:
Answer:
For a single value of x function has more than one corresponding value of y which satisfies the equation.
Step-by-step explanation:
Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.
It means for an equation to represent a function any single value of x there should be only one corresponding value of y which satisfies the equation.
Now consider the given equation.
If we put x=0 then we get two value of y i.e and which satisfy the equation and therefore the equation is not a function.
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