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The function g OH the domain [-5.4] has the following properties: 9(0) 9.9(-3) = 7, 9(-1) = 12 and 9(2) = 6_ 9' (-3) = 0, 9(-1) = 0 and 9 (2) = 0. 9"(-2) ...

Question

The function g OH the domain [-5.4] has the following properties: 9(0) 9.9(-3) = 7, 9(-1) = 12 and 9(2) = 6_ 9' (-3) = 0, 9(-1) = 0 and 9 (2) = 0. 9"(-2) = 0 and 9" (~1) = 0. 9 (x) is positive On the interval (-3,~1) and (2,4). 9 (1) is negative on (~5, -3) and (~1,2). 9 (x) is increasing on (~5,-2) and (~1,4) 9(1) is decreasing on (~2,~1). Construct sign chart for g(z) similar to the one in problem(b) Sketch the graph of g(r On the grid below_

The function g OH the domain [-5.4] has the following properties: 9(0) 9.9(-3) = 7, 9(-1) = 12 and 9(2) = 6_ 9' (-3) = 0, 9(-1) = 0 and 9 (2) = 0. 9"(-2) = 0 and 9" (~1) = 0. 9 (x) is positive On the interval (-3,~1) and (2,4). 9 (1) is negative on (~5, -3) and (~1,2). 9 (x) is increasing on (~5,-2) and (~1,4) 9(1) is decreasing on (~2,~1). Construct sign chart for g(z) similar to the one in problem (b) Sketch the graph of g(r On the grid below_



Answers

Determine the intervals of the domain for which each function is (a) increasing, (b) decreasing, and (c) constant. See Example 9. (GRAPH CANT COPY)

Mm, yeah. Yeah. So in this craft, we have a function like this First, I'm sure. Over this way, Daniel. Remain constant goes down. The only thing we took care of is is welded during clarity. What about the X power value value? So here, X is one you know I exist for Okay, um, and to find it mhm interval. Well, it's actually increasing or decreasing. We can just go follow the graph. So if the graph goes up, like in this way, yeah, it goes up, we can say that it's increasing. So we got an answer for the problem. A. The function increases at the individual active incentive to a woman. Then the function comes at the corner point Just remain constant. Which means the function is a constant on the domain. 1 to 4 after Dad's as far as it goes down. And that means the function is like quality critic. So it goes from world inventive. It's crazy. I would get a solution for both of this directions.

Yeah, it actually looks like this first. First it goes to for zero. Then it goes down so that we can charge picture again. If we want to figure out English interview is increasing or decreasing, you can follow the craft. So from the left, right. So if we photograph, it's going from down to up. Which means departure is actually increasing so that we can see the evil welded. I should do some crazy is, um, from negative infinitive to four. And then once it reached this point, it goes down just from up to down. Well, we can see that the function is actually going down, and it just mm. Goes from form an offensive. And actually Mm, No, not at the domain, Which is is a constant. Say it isn't a six. So this continent is Amber shots. Yeah, actually, you can see it's not a constant in this kind of stabs, So we don't have a interval where the functions are constant.

Yeah, function looks like this. It just goes from here and then it goes down. If we want to figure out in which direction is dysfunctional, going upward and downward of remain constant, which we need to follow the graph from them too, right? And we actually says the function is going downward all the way in That way we can see that produced increasing in the whole interval. And because of that, it doesn't increase now. The saddest, actually, empathy. I'm sorry it doesn't remains as constant. Maybe it's some some turning point at zero, but we can't say that it's actually a habit. So there is no in the real world functions of our rib constant. Maybe it just had as a turning point at zero, but it doesn't really goes constant like this, every long constant where it's constant. So you can see that this ambitious SATs

Mhm. Okay, First we need to draw a picture out. This is how it looks. Yeah, it goes this way. And as a point here, and it goes on me. Right. So we get a functional activities. So do you think we need to take care of its just the X values, right? This is zero is negative to this history. All right, so, first of all, we follow the graph. We see that it's just the crisis here. Oh, yeah, it's therefore, what is the question? Girl from active, inventive, connected to again? When the graph goes here, we can take this corner part. It's include, okay. Yeah. The function remain as a constant. You can see the in this interval as a constant. One thing we need to take care of it. Just This is, um I am Betty starts, which means we can take the both sides way to the virus is here. Mm. Once again, when it goes this way, it still goes down. So that is Stuart the crazy interval. So we don't have an interval. Where is increasing? Yeah, So they did. This means that it's good, actually. Have three universities are sparing of downward as constant, but it doesn't really go upwards. So it doesn't happen. Any of your dad is you crazy?


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