Question: If f(x) = x^2 + 10 sinx, show that there is a number c such that f(c) = 1000.
I'm not too sure I understand the question but I plugged in 1000 as the y value in that rule and don't really no how to solve for x.
Any help would be greatly appreciated!
Thanks in advance!
, , because of the continuity of and the intermediate value theorem, there exists such that for any fixed .
By the way, you dont need to solve the value to show its existence.
http://en.wikipedia.org/wiki/Intermediate_value_theorem