helppp!!!!

Question

What are ways discontinuous points can be accounted for graphically

Answer 1

There are three types of discontinuities.

 

(1).  A "hole" in a graph.  This type of discontinuity is called removable.        For example, f(x) = x + 2 if x ≠ 1 and f(1) = 5 has a hole in the            graph at the point (1, 3).

 

(2). A gap (or jump) in the graph (nonremovable discontinuity).  For             example,f(x) = x, if x < 2 and f(x) = x², if x ≥ 2 has a gap in the         graph when x = 2.

 

(3). A vertical asymptote (infinite discontinuity). For example,                     f(x) = 1/(x+3) has a vertical asymptote when x = -3.  

Answer 2

I'm not sure what this is in reference to.  If this is a statistical graph, a line that can be drawn with the majority of the points near the line would be an estimate.

 

In calculus, a combination of secant and tangent lines might be the way to create a graph, but perhaps someone with more experience can help.