SOLUTION: if P(x) is an even funstion with a negative leading coefficent, describe its end behavior.

Question 553733: if P(x) is an even funstion with a negative leading coefficent, describe its end behavior.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
If the leading coefficient is positive, the graph opens "UP" on both sides.
If the leading coefficient is negative, the graph opens "DOWN" on both sides. At least this is my informal explanation.

For a NON-TRADITIONAL explanation of this topic that is probably easier to understand than your own textbook, please see my own website! The easiest way to find it is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the very bottom of this page there is a link that will take you to the Homepage of my website. I have a complete ALGEBRA curriculum there with LOTS of practice tests, and even a few videos. Best of all, it's all FREE!!!

For this particular topic, when you find the Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", choose "College Algebra" and look in "Chapter 3" for "Section 3.03 Polynomial Functions." There is a complete explanation, together with lots of examples and exercises with ALL the answers given, with TI84 instruction and TI84 illustrations. You will especially like the "Math in Living Color" pages that go with this, where many of the hardest exercises are solved for you IN COLOR! As I said, everything on this website is FREE! No pop-ups or advertising!!

If you or anyone needs to contact me, my Email address is rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
RELATED QUESTIONS
i need help with polynomials it says to state the degree and leading coefficient of each (answered by stanbon)

Identify the leading coefficient and degree, and describe the end behavior of... (answered by RAY100)

If f(x) is an odd function with a negative leading coefficient, g(x) is an even function... (answered by Theo)

Graph p(x)=6x^2(x-4)^3(x+1)^4 Leading root, end behavior,... (answered by Alan3354)

If f(x) is an odd function with a negative leading coefficient, g(x) is an even function... (answered by fractalier)

State whether the function is an exponential growth function or an exponential... (answered by Alex.33)

What is the end behavior of a polynomial graph with a positive leading coefficiant and a... (answered by Theo)

factoring a quadratic with leading coefficent... (answered by jim_thompson5910)

Use an end behavior diagram to describe the end the given function.... (answered by richard1234)