Assume f is differentiable for all x. The signs of f' are as follows.

f'(x) {greater than sign} 0 on (-infinity,-40

f'(x) {less than sign} 0 on (-4,6)

f'(x) {greater than sign} 0 on (6, infinity)

Supply the appropriate inequality for the indicated value of c. (The sign goes inbetween the { marks)

__Function__
g(x)=f(x)+5

__Sign of g'(c)__
g'(0) { } 0

I think this question might involve moving the graph. If I take f(x) and move it up five....at least I think I should move it up five... will the derivative still have the same sign? Any ideas of what to do are greatly appreciated. Thanks for your help!!