SOLUTION: Which statement best describes the end behavior of the function f(x)=3-5x+2x^2-7x^3 A. f(x) approaches as x approaches and f(x) approaches 8 as x approaches B. f(x) approach

Algebra ->  Test -> SOLUTION: Which statement best describes the end behavior of the function f(x)=3-5x+2x^2-7x^3 A. f(x) approaches as x approaches and f(x) approaches 8 as x approaches B. f(x) approach      Log On


   



Question 960760: Which statement best describes the end behavior of the function
f(x)=3-5x+2x^2-7x^3

A. f(x) approaches as x approaches and f(x) approaches 8 as x approaches
B. f(x) approaches as x approaches and f(x) approaches as x approaches
C. f(x) approaches as x approaches and f(x) approaches as x approaches
D. f(x) approaches as x approaches and f(x) approaches as x approaches

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Those choices do not describe anything.

The degree and sign of leading term tell you the end behavior of a polynomial function. f(x) decreases FROM the far left, and f(x) decreases far to the right. The degree is odd, and the leading coefficient is negative.


A model to use is x^3
graph%28300%2C300%2C-7%2C7%2C-7%2C7%2Cx%5E3+%29

The given equation,
graph%28300%2C300%2C-7%2C7%2C-7%2C7%2C3-5x%2B2x%5E2-7x%5E3+%29