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Graphs of the functions and g are given:(a) Which is larger; f(O) or 9(0)? f(0) is larger: g(0) is larger: Neither is larger:(b) Which is larger; f(-4) or 9(-4)? f(...

Question

Graphs of the functions and g are given:(a) Which is larger; f(O) or 9(0)? f(0) is larger: g(0) is larger: Neither is larger:(b) Which is larger; f(-4) or 9(-4)? f(-4) is larger: g(_4) is larger; Neither is larger:(c) For which values of x is f(x) g(x)? (Enter your answers as comma-separated list: )(d) For which values of x is f(x) < g(x)? [-2, 4] [-4, 2] [-2, 0] and [2, 4] [-4, -2] and [2, 3] [-2, 2](e) For which values of X f(x) > 'g(x)? [-4, 3] [-4, 4] [-4, 2) and (2, 3] [-4, 2) an

Graphs of the functions and g are given: (a) Which is larger; f(O) or 9(0)? f(0) is larger: g(0) is larger: Neither is larger: (b) Which is larger; f(-4) or 9(-4)? f(-4) is larger: g(_4) is larger; Neither is larger: (c) For which values of x is f(x) g(x)? (Enter your answers as comma-separated list: ) (d) For which values of x is f(x) < g(x)? [-2, 4] [-4, 2] [-2, 0] and [2, 4] [-4, -2] and [2, 3] [-2, 2] (e) For which values of X f(x) > 'g(x)? [-4, 3] [-4, 4] [-4, 2) and (2, 3] [-4, 2) and (2, 4] (-2, 2)



Answers

Graphs of the functions $f$ and $g$ are given.
a. Which is larger, $f(0)$ or $g(0) ?$ b. Which is larger, $f(-3)$ or $g(-3) ?$ c. For which values of $x$ is $f(x)=g(x) ?$ d. Find the values of $x$ for which $f(x) \leq g(x)$ e. Find the values of $x$ for which $f(x) > g(x)$

We have eight number problem sparked A A which is larger after a D zero so badly off zero is this is a value off F zero that is 123 F zero is three and jeez, it'll d zero value of Jeezy Loy's almost Europe on five. So always we look for the part of the graph here we can say that part off effects is ever the graph of GX for this value of zero. So we can easily say that Abbasid always get it. Then these were never no need to find these. These values did numerical values. OK, so Part B, which is another F minus three rd minus three, will look for the graph at minus tree. This is minus two this in ministry So graph of GX is above graph off effects for X equal minus three. So we will simply say D X is greater than or weaken our G off minus trees Get a and the F minus tree. Okay, Barb, see for which values off ex FX equal to DX so effective Kodiak will with a point. With the graphs off, both the functions intersect so one value is minus two other values too. So X equal toe minus two and four executed, minus two and wipe and two f x equal to GX. Thank you so much.

Hello, everyone. This question is all about reading the drop and how to get several informations by just looking at the graph. Let's sit. Stop by looking at the graph if we want to find the different values off each because this one issue that explode plotted here is each. If you want to find different values off each at different values off eggs, let us take an example. We want to find the value off H off minus two. So this is zero. This is minus one. This is minus two. So we want to find the value of each when X is equal to minus to this point of here, this is minus two equal to one and no venue off each when X is equal to zero, this point is here. So a J zero equal to negative before and now the other really that we would like to find as each off too when you off age when X is equal to to this point is here this one and each of three value off a Judgment X is equal. Do through this point is here right now we want to find the do mean and range off at each. What does that do me? All the possible venues off X. Do you mean is well than usual? Fix and rangers for responding? Well, youse off ex all values off that youse off? Um Here, agent fix. So little. Highlight that on the graph. Let's see here for the domain X is talking from this point and it goes still here. So this is the do mean weekend. Write this one, as do mean. So do you mean as minus 32 four this is do you mean? And now for the breach, all they'll use off each of fix. So now here. This is the maximum value of facial fix. So level hardly start highlighting. And this is the minimum value. So the range is this that will drive. Did you? Oh, this is from four. And then you do One, 24 This is strange. Now there is one thing else that we would like to find. That is, all the values Lake. All the videos affects Covic each off x equal. Do three. That is we would like to find. So that's Evel. Highlight this h of X equals three line. So that you can see. Is she cool too? Three. Linus, This one and you can see that are plotted function that is endured into six. This at 3.1 is this there is this and the other one is this so we can grow to dullness. H off that point is negative three equal to three h off do equal to three and each off full equal to three Now, the next thing that we would like to find us all the values off eggs for rich age is smaller than or equal to three. That means we want to find We want to find the all the possible values for which age is smaller than or equal to three smaller than poor portion ISS Below this line this line that we highlighted before and this is smaller than ocean and that green line is for equal to I will write it down for the reference this highlighted portion iss each is smaller than three and this green highlighted pushiness ages equal to three So we want to find this in which ages smaller than an equal do tree You want to find this here? We can see that from this point till this point h is smaller than or either equal to three. And from this point till this point, it is larger than three. And at this point, it is equal to three. So we rewrite the interval off. Export this, we're going to write it. As for eggs, smaller than Nick will do. Negative three and smaller than equal to do O R. X equal to four. This is the answer off this thing. So what else you would like to find? We would like to find the change. The change in each ever would like to find the change in each between X equal to minus three in X equal to three. So let's do that. It will squeeze it a bit. Yeah. No, that's right. No, we want to find the change in each jianjun h from X equal to minus three two X equal to three we can find. This is but each off minus three. As we have already found, the value off each of three that is here. Here, This will you integrated is for And we have already found a Geof minus three. No, we haven't, but we can see it from here that it is three. So I made it up through. That is one. So this is the answer for this? That's it. Hello, everyone. We're going to compare the two drafts off to different functions in this, uh, question. Let's see the graph of two oceans, the one in the blue as G affects and the one in the writers ever picks. First of all, we will compare their values like at X equal to zero. Which one is larger? The value off ffx it x equal to zero as this and the value of geophysics at X equal to zero Is this so from there we can see that G off zero is one by two. And if off their ways is three and we can clearly see that fr zero is greeted them geo zero. Now let's compared their values at negative three. Those are This is the venue of gov negative three. And this is the value off to you off f off negative three. And clearly we can see that if off negative three is equal. Do negative one and f o negative three is equal. D'oh! Sir, do you have negative through three is equal to do and here you off. Negative three is crude of them f alternative three I know what you want to do is find the Inter find the venues at which, or find the points at which ever fix is equal. Tojo fix These are the two points with the photographs indistinct, we can see that there are usage points. One is this And once this let's highlight them One is this point and oneness this point And this point is as wolf negative to equal to do you off negative to equal to want in this point us f off to equal to G off too equal Do I do No We want to find the interval in which if is smaller than G Let's highlight those intervals F f fx is injured and from here still here we can see that it is smaller than Geographics and and disinter will it is smaller than you So let's write down these intervals This interval is you can see that it is wrong zero negative too native three negative for so it is negative for d'oh negative do and we're putting drunk. Break it because it negative too it is equal and fo fix is smaller than geophysics at in this in terrible this is due to their equal. So I will exclude too because we're only consider the interval in which it is smaller and this is forth. This is when f wolf, if off eggs is smaller than geophysics. But now if I say that if affects a smaller and equal to ju fix then we will include these two points to like. I will include thes two points to like X equal to do in X equal to minus two. And to include these real but square bracket you. And for the interval in which, if no fixes and sorry, Geo fixes smaller than ever fix that's going to consider that that is this potion. Do you have excess smaller than athletics? I have just highlighted it these portions But logically you have to highlight these here and this. That's right, these town this portion, if you fix that is from negative too. You do that's it

The Kevin Picture shows the graph off two different functions F and G. Now the blue curve is the graph of function F and the red curve is the graph of function t. So the first question here is, which is greater if at six or t six. So for this we need to first find the value of the function f at the point X equal to six. Now the point X equal to six is here. This is the point X equal to six. Now here we can see the value off the function. F is 3.5. If we measure along the vertical access on the value of the function G at six is equal to vice point Faith. Therefore, we can see that G at six his greater than if off six. The next question is which value is greater if AC three oh yet three. No. Similarly, we find a function values at the point x equal three, which is here now At this point, F off three is equal to six and g off three is equal to three. Therefore, half off three is greater than de off three. Now the next question is for which values of X. Therefore, if X is equal to g o fix now, this will happen at the point of intersections richer. Here we can see there are three points off intersection before off the stupid rats. So the F X is equal to G affects at X equal life and seven. No. The next question is find those values off X for which F off X is less than or equal who g f IX. Now we need to find those regions, but the allure function f is less than the value of function G. Those we can see are in the region X equal from one now from two X equal to five. We can see the value of function if it's greater, so we'll exclude that next again we have in the range 5 to 7. We can see the value of function F is less than Z. So because the inequality here includes the equal state, that means ffx can be equal energy as well. Therefore, these points 15 even seven will also be included. Therefore, we can write the range off X as exes greater than or equal to one. But less than or equal toe and excess again greater than or equal to fight on less than or equal to seven. No, the last parties for which values of X is f of X. Greater than G affects These will be those regions where they value of this function if is greater than the value off G. Not at recon See is in the range of 2 to 5, where the points two and five are not included. Therefore, it will be in the Range X is greater than two, but less than five. And then finally, in this part from seven toe A In this region, also the value of function F it's greater so this and picks greater than seven, but less than eight. So these are the Rangers off the value of X, for which the function F is greater than the function G.

So doing number nine. So the first thing I'd do is figure out which is not true. Half of zero or G zero. So after zero, is this point with here? Well, chief zeros this point. So we knew about it. Because I have zero is a follow geo zero then conceded is larger, which is that you have been there. Three achieve in 83. Well, you just go over to notice three. Number three is here. U three is here. So in this case, even if there is actually above a mega three, so she the three this larger for which I vex is likely to jfx Well, for that, you just figure out where the two grass intercept so threat there and there. So actually cools is that native to and to find the values of X. Roger was last year, Chris, about that. So it's easier to see. So you want to find where is below or intersecting with Chief? I could see that that would be this section right here and that section right there. So that would be what? What is it? Negative for two and 2 to 4. Finally, we want to figure it out. What vexes greater than you so GOP this right here. But it's crude and it's not great than or equal to, So we wouldn't include the endpoints, so I will be moved to less than Hicks listen to.


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