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No. A function is a "graph" the survives the "vertical line test". Namely, it is for every x in its domain, there can be one and only one f(x) in its co-domain. An ellipse clearly fails it at everywhere except it's two vertex.
But an ellipse can be thought as two separate functions. A standard ellipse relation, x^2 / a + (y)^2 / b = 1, can be thought as two separate real functions of y1 and y2. where y1 = -y2 exactly.
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What conic sections describes a closed curve?
An ellipse is a conic section which is a closed curve. A circle is a special case of an ellipse.
Is the graph of an ellipse a function?
Yes. It's the graph of [ Y = f(X) ] described by (X/A)2 + (Y/B)2 = C2 A, B, and C are constants. If 'A' and 'B' are both '1', then the graph is a circle with radius 'C'.
What are conics?
Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.
If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?
An ellipse is produced.
How do you change an exponential functions to a logarithmic function?
If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.
Is an oval a graph of a function?
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
What is the function for the earth's orbit around the sun?
The function describing earth's orbit round the sun is that for an ellipse.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
How did Kepler decide to use an elliptic shape for his orbits It was the mathematical formula which matched the development of the new invention of the orrery. The ellipse was a mathematical function?
The ellipse is not a mathematical function because all but two values of the independent variable in the domain are mapped to two different points. The relationship is, therefore, one-to-many which means that it is not a function.
Can the foci of an ellipse can be outside the ellipse?
No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.
Can the foci of an ellipse be outside of the ellipse?
No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.
CanThe foci of an ellipse can be outside the ellipse?
No. Both foci are always inside the ellipse, otherwise you don't have an ellipse.
Can the foci of an ellipse be on the outside of a ellipse?
No.
Can the foci of the ellipse be outside of the ellipse?
No.
Can the foci's of and ellipse be outside the ellipse?
No.
How do you find the surface area of an ellipse?
An ellipse is a two dimensional shape, so it does not have a "surface area", only an "area". Any ellipse has two radii, the major one and the minor one. We'll call them R1 and R2. The area of the ellipse then can be calculated with the function: a = πR1R2 You will notice that this is the same equation as the area for a circle. The circle is a special case though, because it is an ellipse in which both axes are the same length. In that case, R1 equals R2, so we can simply call it r and say: a = πr2
How many foci are at the center of an ellipse?
An ellipse has 2 foci. They are inside the ellipse, but they can't be said to be at the centre, as an ellipse doesn't have one.
