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The fixed points of a function f(x) are the points where f(x)= x.

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12y ago

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Does it matter which points you use to find the slope?

No. If you have more than two points for a linear function any two points can be used to find the slope.


What is the definition of lower fixed points?

Lower fixed points refer to values in mathematical functions or equations where a function's output equals its input, specifically at the lower end of a defined range. In a more general sense, they represent stable points where a system or process remains unchanged under certain conditions. In the context of dynamical systems, lower fixed points can indicate equilibrium states or attractors for the system's behavior.


What are fixed points in dynamical system?

Fixed points in a dynamical system are values where the system's state does not change over time, meaning that if the system starts at a fixed point, it will remain there indefinitely. Mathematically, a fixed point ( x^* ) satisfies the condition ( f(x^) = x^ ), where ( f ) is the function describing the system's dynamics. Fixed points can be stable, unstable, or semi-stable, depending on the behavior of nearby trajectories. They are essential in analyzing the long-term behavior of dynamical systems.


To find critical points?

Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.


How do you find the minimum and maximum points of a function?

Set the first derivative of the function equal to zero, and solve for the variable.


How do you get a maximum displacement?

To determine the maximum displacement, you need to calculate the peak value of the displacement function. This is done by finding the extreme values (maximum or minimum) of the function, typically by taking the derivative and setting it to zero to find critical points. Once you have these critical points, evaluate the function at those points to find the maximum displacement.


How do you calculate critical points of derivatives?

The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.


What are fixed point?

A fixed point is a value that remains unchanged under a specific function or operation. In mathematical terms, if ( f(x) = x ), then ( x ) is considered a fixed point of the function ( f ). Fixed points are significant in various fields, including mathematics, computer science, and physics, as they often represent equilibrium states or solutions to equations. They are commonly used in iterative methods for finding solutions to problems.


What is a fixed point?

A set point where all measurements can be taken from


Briefly explain the focus and directrix of a parabola?

the set of points equidistant from a fixed point


How do you find the domain of a rational function?

The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.


Do mixures have fixed boiling points or not?

A specific mixture has a fixed boiling point.