Question : Suggest a possible equation for each of the graphs.
here
http://img707.imageshack.us/img707/103/scan0001cn.jpg
http://img197.imageshack.us/img197/4797/byhbyh.jpg
plz explain the steps to solve them too.
thanks
I love the names you give to your images man! Keep up the good work!
(e)
The line passes through two negative points and the origin.
(f)
The left side of the curve is going downward. This means that it is a negative curve. There are two interceptions where the x-axis is positive. Therefore two (x-z)s.
(g)
The left side is negative, so it the curve is negative. It has a standing point with 2 interceptions on the x-axis, so there is a
somewhere. And it cuts the x-axis in the positive area. Thus, it has an (x-z).
(h)
There is a stationary point on (0,0) meaning that there is
and there is an intersection on the negative part of the x-axis. So, there is a (x+z).
(i) Although this may seem intimidating, it is actually based on the simple rules as previous.
You can see that there are 6 straight line sections. So the total power of
with be
.
Now, there are 3 intersections in the positive and the negative, so you will have a repeated brackets of these:
and
Now, determining the the slope is very important. Before you do such big ones, just plot them in your head. Now even powers e.g
will always have their negative x values on the positive y-axis. So,
is no exception. But the graph we see shows that the negative x values are on the negative y-axis.
So, we put in a negative sign, and problem solved!