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Q: What is the range of the function y x2?
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Is the inverse of the function y x2 still a function?

Y = 1/X2 ==============Can it pass the line test? * * * * * That is not the inverse, but the reciprocal. Not the same thing! The inverse is y = sqrt(x). Onless the range is resticted, the mapping is one-to-many and so not a function.


Example of quadratic function?

x2+2x+1=y or y=x2 In this function the domain is x equals real values and the range is y equals all real values provided y is more than or equal to zero.


What is the range of the function y equals -x2 plus 1?

y = -x2 + 1 This function describes a parabola that opens downward. To find the top of it's range, you need to find it's focal point. You can do that very easily by taking the derivative of the equation and solving it for 0: y = -x2 + 1 ∴ y' = -2x let y' = 0: 0 = -2x ∴ x = 0 Now you can calculate the y value at that point: y = -02 + 1 ∴ y = 1 So that function describes an upside down parabola whose peak is at the point {0, 1}. It's range then is: {y | y ∈ ℜ, y ≤ 1}


Is x2-y2 equals 81 a function?

The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.


Is y equals x2 plus 1 a function?

Yes. Think of y as being a function of x. y = f(x) = x2 + 1


Which is an example of a function?

Y = X2 Is a parabolic function.


Is y greater than x 2 a function?

no, but y = x2 is a function


Is x2 plus 5x a function?

No. x2+5x is a polynomial, an algebraic expression or a formula, but it is not a function. It could be used to help define a function. {(x,y) | y = x2 + 5x , x any real number} is a function


What is the range of the function y x2 2x 4.?

The range depends on the domain. If the domain is the complex field, the range is also the whole of the complex field. If the domain is x = 0 then the range is 4.


Is y equals x2 a function?

Y=X^2 is a function for it forms a parabola on a graph.


What is the parent function for a quadratic function?

y = x2 is the parent function, but it can be in the form y = ax2 + bx + c


What is an example of an algebraic rule that is not a function?

x2 - y2 = (x + y)(x - y) is an identity, not a function.