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First of all, ALL functions are relations, but not all relations are functions.
To answer the question of whether or not this relation is a function, you want to know if any x value goes to more than one y value.
In this case it is easy. Look at what happens when x=0. At x = 0, your equation becomes y^2=4. Both y=2 and y=-2 satisfy that equation. So x=0 goes to two different y values.
It is a relation, but NOT a function.
What else can I help you with?
Is f9x0 equals x3-x2 plus 5 a linear function?
No, it is not.
Is x2-y2 plus 49 equals 0 a function?
Yes
Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
What does x2 plus x2 equals?
x2 + x2 = 2x2
What is the implicit form and explicit of the function x2 plus 2y equals 5?
Implicit: x2 + 2y = 5 Explicit : y = (5 - x2)/2
What is the vertex of the function y equals x2 plus 6x-5?
x = -3y = -14
What is the shape of the function y equals 16x plus x2?
(the shape is an upside down 'u').
What does x2 plus 6-40 equal?
It equals x2 - 34
X2 plus 6x plus 8 equals?
The quadratic expression x2+6x+8 when factorised equals (x+2)(x+4)
What best describes the one below fx equals x3-x2-9 plus 9?
It is a many to one function (APEX)
What is the x-coordinant of the vertex in the function y equals x2 plus 14 plus 21?
y = x2 + 14x + 21 a = 1, b = 14 x = -b/2a = -14/2*1 = -7
X2 plus 7 equals 36?
if x2 + 7 = 37, then x2 = 29 and x = ±√29
