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Use the graph of the function $f$ given.Is there a local maximum value at $2 ?$ If yes, what is it?(GRAPHS CANNOT COPY)...

Question

Use the graph of the function $f$ given.Is there a local maximum value at $2 ?$ If yes, what is it?(GRAPHS CANNOT COPY)

Use the graph of the function $f$ given. Is there a local maximum value at $2 ?$ If yes, what is it? (GRAPHS CANNOT COPY)



Answers

Use the graph of the function $f$ given. Is there a local maximum value at $2 ?$ If yes, what is it? (GRAPHS CANNOT COPY)

Okay, So twenties esque. If there's a local max it five. When you're looking at this graph and real quick, a maximum is like the highest point you're going to read, write. And so you have an absolute max. But if you think of like a roller coaster, right, asshole, roller coasters a lot of time. Look, something like that, I have an absolute max. But then I also have some local maximums or eight meaning they're high points. But their high points were just kind of like the nearby, um, areas around them. Okay, so that's what we're going to be looking at here, and it says okay at five. So if I'm looking at five, I'm at that point right there. And if I'm writing a roller coaster, is that gonna be a high point on my right? Um, no, that's actually a low point, right? We go down and back up, So this is gonna actually be a men, a local man. Okay. And so I look at this and I say no, right. Five has a local men because that's a little point on my roller coaster ride. And that's how you answer this question.

From the graph, we have to list the numbers at which s their f has a local master them so from the graphic and see that f takes a local maximum at the points minus two. Andi last two on the values off the maximum are six and 10. So therefore we'll see that f off minus straw is equal to six on F off two is equal to 10 of the local maximum.

From the graph of the function given to us, we need to find the points where the function takes the loca maximum value so from the graphic and say that it takes the nopal maximum value at zero such that F actress Edo is able to tree Similarly, we also need to find where does it take a local minimum value also from the graph it takes the local minimal at minus toe. Ondo, such that f at minus two is equal to zero on s at two is also equal to zero. So the notice that somebody was three on the local minimum value is zero.

We have to find the points where the function takes the local maximum and minimum values. So from the graph, the function takes the local maximum values at zero that is at zero is equal to toe on. It takes the local minimum values at minus one and one where F at minus one is equal to zero on F at one is also equal to zero. So the looks so the local maximum value is to on the local minimum value is zero.


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