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How can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
What is the extreme point on a parabola?
The highest or lowest point of the parabola, it is the point that is closest to the focus. The extreme point lies on the axis of symmetry
How can you tell the difference graph or function?
A function describes the relationship between two or more variables. A graph is a kind of visual representation of one or more function. A line or curve seen on a graph is called the graph of a function. * * * * * For any point in the domain, a function can map to only ine point in the range or codomain. In simpler terms, it means that (for a two dimensional graph), a vertical line can intersect the graph of the function in at most one point.
What is the extreme point on a pendulum swing?
Apogee
What are the extreme values of 2x2-8x plus 9?
Given: f(x) = 2x2 - 8x + 9 This function describes a parabola, which only has one extreme value. To find that value, you can take the derivative of the function, and use that to find the point at which it has a slope of zero: f'(x) = 4x - 8 if f'(x) = 0, then: 0 = 4x - 8 ∴4x = 8 ∴ x = 2 Now we work out the corresponding value for f(2): f(2) = 2(2)2 - 8(2) + 9 = 8 - 16 + 9 = 1 So the extreme value for this function is 1, which occurs at the point (2, 1)
Point of distinction between power and authority?
bad and worse
Write down the point of distinction between power and authority?
Generally the terms 'authority' and 'power' are used interchangeably.
The vertex is the extreme point of a parabola and is located halfway between the and directrix?
focus
On a parabola the extreme point is called a?
The extreme point is called a vertex.
The is the extreme point of a parabola and is located halfway between the focus and directrix.?
This extreme point on the parabola is called the vertex. In math. a parabola is a U-shaped curve with a directrix, which is a fixed straight line.
What is the extreme point of a parabola that is located halfway between the focus and directrix called?
It is the vertex of the parabola.
What is the difference between the triple point and critical point in a substance's phase diagram?
The triple point is the temperature and pressure at which a substance can exist in all three phases (solid, liquid, gas) simultaneously. The critical point is the temperature and pressure at which the distinction between liquid and gas phases disappears.
On what basis do scientists make a distinction between the end of the troposphere and the start of the stratosphere?
For most purposes, it is the point at which temperature begins to increase with altitude.
What is the extreme point of a parabola?
The extreme point it the highest or lowest point of the parabola (depending if it is concave downwards or upwards). It is the point of the parabola tat is closest to the focus. the extreme point lies on the axis of symmetry.
The is the extreme point of a parabola and is located halfway between the focus and directrix?
The vertex -- the closest point on the parabola to the directrix.
How can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
What is the extreme point on a parabola?
The highest or lowest point of the parabola, it is the point that is closest to the focus. The extreme point lies on the axis of symmetry
