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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.
Is y2 equals x2 a function?
No, because there is more than one solution: y2 = x2 y = ±(x2)1/2 y = ±x Because there are multiple solutions for a single value of x, this does not qualify as a function.
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 are the solutions for x when y equals 0 in the quadratic function y equals x2 plus x?
y = x2 + x = 0 x (X + 1) = 0 x = 0 is one solution x = -1 is the other
Is y equals x2 plus 1 a function?
Yes. Think of y as being a function of x. y = f(x) = x2 + 1
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.
Is y2 equals x2 a function?
No, because there is more than one solution: y2 = x2 y = ±(x2)1/2 y = ±x Because there are multiple solutions for a single value of x, this does not qualify as a function.
Is y equals x2-4 a one to one function?
6
What is the function for y equals x2?
f(x) = x2 This describes a parabolic curve, with it's vertex at the point (0, 0)
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 shape of the function y equals 16x plus x2?
(the shape is an upside down 'u').
What is the vertex of the function y equals x2 plus 6x-5?
x = -3y = -14
What are the solutions for x when y equals 0 in the quadratic function y equals x2 plus x?
y = x2 + x = 0 x (X + 1) = 0 x = 0 is one solution x = -1 is the other
What is graph of the function y equals X2?
It looks like a parabola which looks like a U shape.
What is the domain of y equals x2?
The domain of y = x2 is [0,+infinity]
What is another name for the root of a function?
The "root" of a function is also called the "zero" of a function. This is where the function equals zero. The function y=4-x2 has roots at x=2 and x=-2 The function y=4-x2 has zeroes at x=2 and x=-2 Those are equivalent statements.
