Valerie Russell

Assignment 3

Let's look at what happens when several value of b are given.



We have seen what happens when the values of b are greater than 2 from the previous examples, both roots were negative. When b = -2 or b = 2, there was 1 real root. The horizontal line touched each section of the curve at one point. Let's see what happens when b < 2.

Notice the horzonal line y = -3. It crosses the

curve at two positive points. From what we saw

on the previous graphs, this should mean

there are two positive roots when b < -2.

According to the graph below, it does.




What happens when c = -1 rather than c = 1? What happens for any negative value of c?