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?

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