Assignment #1 Nicole Mosteller EMAT 6680
Assignment #1 Nicole Mosteller EMAT 6680
First, let's make a small adjustment to the basic relation equation. Since both a and b are negative values, our new basic relation equation becomes
.Figure 1: a = 4 and b = 1.
The graph in Figure 1 best exemplifies most of the graphs of the relation equations when a and b are less than 0. For each of the test equations in this case, I noticed that the slight curvature is prevalent in each of the graphs. Also, the concavity of the curve changes, see Figure 2, when a is less than b (as opposed to a greater than b as in Figure 1).
Figure 2: Let a = 0.25 and b = 1.
The only other graph that caught
my eye when a and b are less than 0 occurs
when a = b. The graph of this relation equation is a straight
line. See the proof Attached
as well as the proof in Part 3
for explaination.