Please check my post that has the hole exercise for more info

Although it isn't an asymptote, this next problem has the same problem with the default y-axis scale being too big to accurately see other features of the graph. Let

f(x) = x⁵ - 225x³ -x² + 225.

Our goal is to find the three real roots (zeroes) of this polynomial.

First plot the graph on the interval (-17,17). What are the values of the x intercepts that you can clearly see.

	Enter a list of numbers separated by space or commas.

Is 0 the other root? From the graph over -17,17 it seems plausible. Explain why you know that 0 is not the other real root for this polynomial.

	Enter a short answer.

Replot the function over an appropriate domain to find the third real root:

	Enter a list of numbers separated by space or commas.

5 Plotting Several Functions on the Same Graph

Often we wish to compare two functions. We may want to see which is bigger? Which grows faster? Or, we may want to see when they are equal. In order to do this we need to learn how to put multiple graphs into one figure. We illustrate two ways that this can be done:

You can draw all the graphs at once using plot, as in plot(x1,y1,x2,y2).

You can use the hold function to cause MATLAB not to draw a new plot each time, but rather to hold the current plot so that new lines may be added to it.