Let P and Q have coordinates (Px, Py) and (Qx, Qy), respectively (here x and y are intended as subscripts)
Note that Py = f(Px) and Qy = f(Qx)
Slope m = (vertical difference) / (horizontal difference)
m = (Qy-Py) / (Qx-Px)
one
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
No. Two distinct points define a single line.
All lines are defined by two or more distinct points.
It will have end points to be a distinct line segment
one
Asymptotes
The answer depends on what you mean by "vertical of the function cosecant". cosec(90) = 1/sin(90) = 1/1 = 1, which is on the graph.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
No. Two distinct points define a single line.
All lines are defined by two or more distinct points.
discuss the possible number of points of interscetion of two distinct circle
It will have end points to be a distinct line segment
Yes. Every line has an infinite number of distinct points.
No. Two points determine one line, and only one.
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.
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.