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10_ 6 points) The graph of a derivative; f is shown in the figure Suppose the original function; f, is continuous and f(0) = 1. (a) Complete the table of values fo...

Question

10_ 6 points) The graph of a derivative; f is shown in the figure Suppose the original function; f, is continuous and f(0) = 1. (a) Complete the table of values for the function f(z) below.f(z)b) Sketch the graph of f on the axes provided: y = f'(2)y = f(c)

10_ 6 points) The graph of a derivative; f is shown in the figure Suppose the original function; f, is continuous and f(0) = 1. (a) Complete the table of values for the function f(z) below. f(z) b) Sketch the graph of f on the axes provided: y = f'(2) y = f(c)



Answers

Use the graph of $f$ in the figure to do the following. a. Find the values of $x$ in (-2,2) at which $f$ is not continuous. b. Find the values of $x$ in (-2,2) at which $f$ is not differentiable. (graph cannot copy)

So we're wanting to sketch a potential graph of F. Um Looking at figure 12, we want to show something that's similar to that, so we cf is increasing from negative infinity to negative three. And then once it gets to negative three, it's going to start decreasing, but then it gets too negative one and it increases again. Um but it stops going all the way to zero, so we're just going to bring this up here and then we see that it's decreasing. Um consistently our graph is decreasing reaches a point right here, for example, at X equals two. Where stabilize that's also gonna be an inflection point. This is kind of what our graph would look like.

Uh, Amy, we're assuming that working, and they want to know what is it? Transformation for F of X minus five and F X minus five. Basically, looking at the differences. So any time we have something that outside of the parentheses is going to tell us if it's going up or down, Okay, so if it's a negative number, which so when I get it five this negative tells you that you're going down in this number tells you're going down, But so it's going to shift down five. Now, if you have it inside of the parentheses. So as in this one for B A, um, it's gonna go left or right now parentheses. They always lie, but this is always lie. So basically, it's gonna be the opposite. So inside we have a negative five. A. The opposite is a positive five. Now, on a graph, this is zero. Where's positive? Five. Positive. Five's gonna be somewhere over here. So which way I go? I'm shifting to the right five. Now we're getting that five from here.

Solution for the human question solution for again Question. Look at the question. They have given a 41 on. Then if one is equal to four, the zero is equal to six statements. One coming for one is the moment for us. The range. So one coming for on zero comma. Six from this. First you have to find out a slope from this kind of the slope. The family for Slocum Musical Toe y tu minus. Why? I want to buy extra money. Sex one now x one by one A test. Explain why when I say we have to find out. Okay, this is X one. And this is why one This is X two y two. Substitute this value in the equation. So why? To six minus for divided by zero minus one. So we'll get us two by minus one that is equal to minus toolkit. So sloppy God slope God and message from the minister now find the equation. We have another formula trying to the equation. We have another from love. I minus 51 is equal. Toe em off X minus 61 Again we do X one y one value from previous one coming forth. So why minus for a sickle? Tow em off. It's my ex. The A means that is slow minus two. Regard ex miners x minus. You see the explain it. This one. So here you have to find out the Via value. Why is the perfect situation so that is equal to minus two. Multiply minus two X plus two will get why we have to find out why. Why is it called a minus two X plus two plus four. So that is the Colton profits is equal to minus two X plus six. So the equation we got task The equation of profits equation is minus to express six by using this is ill. You can draw the graph for physical to minus to express six dancer.

We want to sketch the graph for the function we want the domain to be from negative 2 to 2. So right now let me just put in those limits. So you don't go beyond them. So this is going to be a restricted domain and then we want F of negative two equal F of negative 12 equal F of one, equal Fs two, which equals one. So F. Of negative one, and F. Of negative two equal one F of one, and F. Of two also equal one. Then we wanted to be discontinuous at negative one and one. So we'll have it jump right here. So there we go. Now it's just continuous and negative one and one. And then we wanted to be right continuous at negative one. So we see it as right continuous at negative one right here. Um And we see it's left continuous at positive one. So we should have to give me the case here. If we come from the left or if we go from right, we'll be right and left continuous. So that's our final answer.


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