SOLUTION: What is the end behavior of f(x) = –x^3 + 2 ?

Algebra.Com
Question 481513: What is the end behavior of f(x) = –x^3 + 2 ?
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


-odd-degree polynomials have ends that head off in opposite directions
-if they start "down" (entering the graphing "box" through the "bottom") and go "up" (leaving the graphing "box" through the "top"), they're positive polynomials;
-if they start "up" and go "down", they're negative polynomials
Since the leading coefficient of this odd-degree polynomial is negative, then its end-behavior is going to mimic a negative cubic:

RELATED QUESTIONS

what is the end behavior asymptote of the function... (answered by stanbon)
What is the end behavior of f(x) = 2^ -x + 5 as x goes to... (answered by Boreal)
What is the end behavior of -x^3+x? (answered by jsmallt9)
What is the end behavior of the following function f (x) = (2 −... (answered by Theo)
What is the end behavior of... (answered by jsmallt9)
What is the end behavior of f(x)=2x(x-4)^2? (answered by Fombitz,addingup)
What is the end behavior of F(x)= -9x^3-2x^2-5 ? And how do you find... (answered by stanbon)
What's the end behavior of 5x^3 - 3x^2 +... (answered by josgarithmetic)
What is the end behavior of the line x =... (answered by Fombitz)