SOLUTION: Choose the end behavior of the graph of each polynomial function. (a) f(x) = 4x^3+7x^2+5 1) Falls to the left and rises to the right (b) f(x) = -6x^5-2x^4-8x+2

Question 1036319: Choose the end behavior of the graph of each polynomial function.
(a) f(x) = 4x^3+7x^2+5 1) Falls to the left and rises to the right
(b) f(x) = -6x^5-2x^4-8x+2 2) Rises to the left and falls to the right
(c) f(x) = -2(x-2)^2(x+4) 3) Rises to the left and rises to the right
4) Falls to the left and rises to the right
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. This does fall to the left and rise to the right. (x^3) is - for negative x.

b. This is an odd powered function with a negative sign in front of it, so it will do the opposite of the first one.

I will edit c. as -2(x-2)^2+x+4
c. This will fall to the left and fall to the right. It has an even powered function with a negative sign in front.

RELATED QUESTIONS
Use the Leading Coefficient Test to determine the end behavior of the polynomial... (answered by ikleyn)

Determine the right-hand and left-hand end behavior of the polynomial function,... (answered by solver91311)

Choose the end behavior for each of the polynomial function. f(x)= -5x^5-9x^2+6x+1. I... (answered by stanbon)

I got - "falls to the left and rises to the right" Use the Leading Coefficient Test to (answered by jim_thompson5910,stanbon)

I have a question that states: determine the right-hand and left-hand behavior of the... (answered by rapaljer)

What are the end behaviors of the graph of f(x)=-2x+x^3+3x^5-4? a. Rises to the left... (answered by mananth,MathTherapy)

describe the end behavior of the polynomial function lim f(x) and lim f (x) (answered by Fombitz)

(a)Determine the left-hand and right-hand behavior of the graph of f(x) =-4x^2 + 3x^2 - 1 (answered by stanbon)

Hi! Could someone help walk me through this problem? "True or false: The graph of the... (answered by josgarithmetic)