A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
without graphing, describe the end behavior of the graph of the function f(x)=3x^3
anonymous
 one year ago
without graphing, describe the end behavior of the graph of the function f(x)=3x^3

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the exponent is odd, hence dw:1443846217889:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0actually that is not complete the exponent is odd AND the leading coefficient is positive (it is 3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0my options look like this\[A s x>\infty, f(x)>\infty\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Well the greatest degree determines the end behaviour, in your case the degree is 3 (cube) since you have \[y=3x^3 \] and your degree is odd, so we look at the ends of the graph (that's why it's called end behaviour). So if we plug infinity/  infinity in our function, then f(x) will go to positive infinity and negative infinity

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1That's what it means by x> infinity, so if you plug in larger numbers in the equation you will get a larger number, in this case f(x) = infinity, and since it's odd, if you plug in x>  infinity then f(x) =  infinity, hope that makes sense!

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1So notice odd degrees have two end behaviours
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.