How would I find the value of c for which this function is continuous?

Calculus
Tutor: None Selected Time limit: 1 Day

Sep 22nd, 2015

Thank you for the opportunity to help you with your question!

Since f(x) is a polynomial function, I'm going to present a simple way of finding the the value(s) c where f is continuous. 

All polynomial functions that are sums powers of x are everywhere differentiable everywhere: that is, for all values on the real line. If a function is differentiable at x, it is also continuous at x. 

Since f(x) is differentiable everywhere, it is continuous everywhere. That is f(x) is continuous for every value of x: hence for every c in (-infinity,+infinity).

If you haven't had differentiation yet, post the problem again and specify that the solution can't use the property of differentiability.. 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 22nd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Sep 22nd, 2015
...
Sep 22nd, 2015
Dec 5th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer