Hi. Im stuck on this problem:

Consider the function:

f(x) = x+2 if  x \le 2
f(x) = 8-x   otherwise<br />
Discuss the applicability of Newton-Raphson and golden section search: will they successfully approximate the minimum in [-3,5] to within a pre-specified tolerance?

I am thinking no? because there are no such minimium for the graph, since it is totally unbounded. Am I on the right track? How can I explain this in terms of those methods mentioned in the question?

Thanks.