10 5 -5 5 -5 The graph above represents the function f(x)=42-1 . If you look at the graph there is clearly a discontinuity meaning that function f(x)= $3-1 has a break in the graph. If the function was continuous there would not be a jump in when graph. There are also two vertical asymptotes and one horizontal asymptote. A vertical asymptote is a line that runs vertically which the function never touches. A horizontal asymptote is the same thing only difference is that it is a horizontal line. We also discussed limits. A limit is a value that the function approaches and gets closer and closer to that value. Two examples are positive infinity and negative infinity. Meaning as the graphs approaches these values, what number is it approaching. If we were to look at the limit positive infinity and negative infinity, we can see that there would not be a limit since there are breaks with in the graphs. It would be different outcome if we chose a number like 1 or 2 as our limit