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The fixed points of a function f(x) are the points where f(x)= x.
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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 points lies on the graph of the function y equals 4x?
Since there are no "following" points, none of them.
Which set of points could represent a linear function?
A set of points forming a straight line.
What are path functions?
a function whose magnitude depends on the path followed by the function and on the end points.
What is a three-dimensional surface in which all points are equidistant from a fixed point?
A 'spherical' surface.
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 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.
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.
What is the set of two fixed points and all points in between them?
It is a line segment.
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.
Is a movable pully fixed at all points?
a fixed pulley is a pulley attached to a support.
What is a point that is equidistant from all points on a circle?
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
What is meant by fixed points in maths?
They are points whose positions do not change under transformations.
