help please I am going to kill my laptop! WILL MEDAL AND FAN

Question

scarlett_feathers · Answer

attachment

owlcoffee · Answer

A local maximum is a local extreme point, which can be the highest or the lowest point given an interval.

mjdennis · Answer

How do you find local maxima?  Do you see one or more here?  What are the coordinates?

scarlett_feathers · Answer

I don't know how to find maxima or minima. Is it the point (0,3)?

amtran_bus · Answer

Think of max as highest. What is that coord. on the graph?

scarlett_feathers · Answer

(0,3)

amtran_bus · Answer

Good. So where are the two lowest points?

scarlett_feathers · Answer

(-4,-5) , and  (4,-5)

amtran_bus · Answer

That's correct isn't it @Owlcoffee ?

owlcoffee · Answer

Not really, the arrows on the ending points of the graph try to express that the function keeps going down infinitely.

scarlett_feathers · Answer

so how do I find the correct answer

amtran_bus · Answer

But those represent the mins. Is it neg inf?

owlcoffee · Answer

Problem with infinity is that it never stops, so by definition, you can never find a minimum point in this function since it'll be decreasing to both sides.

mjdennis · Answer

As I learned, there are no local minima.  But that is OK, the question does not ask for mins, just max.

scarlett_feathers · Answer

good thin it is only asking for the maxima then

mathmate · Answer

Read the two questions VERY carefully.
@scarlett_feathers 
Each question asks for a different value, even though there is only one local maximum.

scarlett_feathers · Answer

I already figured them  out