• Brainly User

This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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)
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:-)                     
Wew. In what grade can we learn this stuff ?
Grade 10 :-) Polynomial Functions.
Ah okey :) I'm still in Grade 8 , ehehehe X)
But it's introduced in Grade 9 with quadratic equation :-)
Owe. Okey :) Thank you ^^~