y- intercept = (4) (2) (-1) (-3)
= 24 with coordinates (0,24)
The equation is a 4th degree polynomial, the leading term is x^4.
So the graph has 3 turns, One maximum and two minimum.
Plot the roots: -4 with coordinates (-4,0)
-2 with coordinates (-2,0)
1 with coordinates (1,0)
3 with coordinates (3,0)
Now, for the solutions of vertices minimum and maximum, these are the results (it's a long process, two pages)
The maximum is (-1/2, 441/16 or 27-9/16)) (above x axis)
The first minimum has coordinates ( -1-√29 , -25) (left of y axis, below x-axis)
2
The second minimum has coordinates (√29-1, -25) (right of y axis,below x-axis)
To graph:
1. From (-4,0) go down to the first minimum, then turn going up passing through (-2,0) up to maximum (-1/2, 27-9/16).
2. From the maximum, pass through (1,0) to the second minimum.
3. From second minimum, go up passing through (3,0)
Please try:-)
