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

Algebra ->  Polynomials-and-rational-expressions -> 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       Log On


   



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) About Me  (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.
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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.
graph%28300%2C200%2C-10%2C10%2C-100%2C100%2C-6x%5E5-2x%5E4-8x%2B2%29
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.
graph%28300%2C200%2C-10%2C10%2C-100%2C100%2C-2%28x-2%29%5E2%2Bx%2B4%29%29