Calculus true or false help please?

True or false, if false can you please explain why?





1) If a graph of a function has three x-intercepts, then it must have at least two points at which its tangent line is horizontal.








2) If h(x)=0 for all x in the domain of f then f is a constant function








3) If a function is continuous on a closed interval then it must have a minimum on the intervalCalculus true or false help please?
1) False. The function does have to be differentiable so it might not have any tangent lines at all.





2) False, unless h(x) means something that you haven't told us about, because there is no connection between f and h.





3) True, either it has a minimum value inside the interval or the minumum is at one of the end points. It may have more than one minimum value, or even ';an infinite number'; of minima if it is a constant function, but ';it must have a mimimum'; means ';it must have one or more'; not ';exactly one';.

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