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

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Q: How you find fixed points of a function?
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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.


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 is a fixed point?

A set point where all measurements can be taken from


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.


Briefly explain the focus and directrix of a parabola?

the set of points equidistant from a fixed point


Do mixures have fixed boiling points or not?

A specific mixture has a fixed boiling point.


The set of all points in a plane that are the same distance from a fixed point?

This set of points forms a circle with the fixed point as its center.


What info do you need to find an object's speed?

You would need to know the distance travelled between two fixed points and the time taken to travel between those two points.


What is the set of two fixed points and all points in between them?

It is a line segment.