SOLUTION: Describe the end behavior of the function f(x)=2x^7+4x^4-6.
One of the following is the correct answer. Which one is correct?
A) f(x) goes to +infinity as x goes to - infinit
Algebra.Com
Question 1198860: Describe the end behavior of the function f(x)=2x^7+4x^4-6.
One of the following is the correct answer. Which one is correct?
A) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity
B) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
C) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity
D) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
In any polynomial, the end behavior depends on the degree of the polynomial and the sign on the leading term. There are 4 cases:
(1) even degree, leading coefficient positive: +infinity as x goes to either +infinity or -infinity
(2) even degree, leading coefficient negative: -+infinity as x goes to either +infinity or -infinity
(3) odd degree, leading coefficient positive: +infinity as x goes to +infinity; -infinity as x goes to -infinity
(4) odd degree, leading coefficient negative: -infinity as x goes to +infinity; +infinity as x goes to -infinity
Your polynomial is odd degree with positive leading coefficient....
ANSWER: up to you
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Use the degree and the leading coefficient to determine the behavior.
Case.......................................................End Behavior of graph
When is odd and is positive....... Graph falls to the left and rises to the right
When is odd and is negative....... Graph rises to the left and falls to the right
When is even and is positive....... Graph rises to the left and right
When is even and is negative....... Graph falls to the left and right
in your case
->,
-> is odd and is positive=>Graph falls to the left and rises to the right
answer:
C) goes to as goes to , and goes to as goes to
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