Question

hello! i'm so excited to have found this site. let's see if youcan help. here's the question:

Sketch a graph of a function that satisfies the followingcharacteristics. (There are

many correct answers here!!)

- f(x) is continuous everywhere except at x=1

- lim (x -->1-) f(x)=2

- lim (x -->1+) f(x)= -3

- f(1) = 3

Now, here's the simple graph that my teacher gave us inclass:

my question is: why doesnt the graph go THROUGH the point (1,3)?what in the directions would tell me that it's just a point???