SOLUTION: The addition of either -x8 or 5x7 will change the end behavior of y = -2x7 + 5x6 - 24. Explain how each of the added terms above would change the graph

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The addition of either -x8 or 5x7 will change the end behavior of y = -2x7 + 5x6 - 24. Explain how each of the added terms above would change the graph      Log On


   

Question 1018824: The addition of either -x8 or 5x7 will change the end behavior of y = -2x7 + 5x6 - 24.
Explain how each of the added terms above would change the graph
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the current end behavior is -2x^7. When x is large +, the term is negative. When x is large -, the term is positive.
Add -x^8. When x is large +, the term is negative, and large negative it is negative.
Add 5x^7. Now large x positive will be positive and large x negative will be negative. The graphs of each of those are below.
graph%28300%2C200%2C-5%2C5%2C-2000%2C2000%2C-2x%5E7%29
graph%28300%2C200%2C-5%2C5%2C-2000%2C2000%2C-x%5E8%29
graph%28300%2C200%2C-5%2C5%2C-2000%2C2000%2C5x%5E7%29