5

Given the function f(x)=x2 10,X20,(a) Find f" 1 (x): (b) Graph f and f " in the same rectangular coordinate system. (c) Use interval notation to give the ...

Question

Given the function f(x)=x2 10,X20,(a) Find f" 1 (x): (b) Graph f and f " in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f(a) Find f" " (x). f716)-D(b) Choose the correct graph which shows and f ` graphed in the same coordinate systen 0 B.9-& 16 9(c) State the domain and range of f and f using interval notationDomain of f = [ Range of f"Range of f = Domain of ( `Click to select your answer(s) .

Given the function f(x)=x2 10,X20, (a) Find f" 1 (x): (b) Graph f and f " in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f (a) Find f" " (x). f716)-D (b) Choose the correct graph which shows and f ` graphed in the same coordinate systen 0 B. 9-& 16 9 (c) State the domain and range of f and f using interval notation Domain of f = [ Range of f" Range of f = Domain of ( ` Click to select your answer(s) .



Answers

Use the graph of the function to find the domain and range of $f$ and the indicated function values.
$$\begin{array}{ll}{\text { (a) } f(-1)} & {\text { (b) } f(2)} \\ {\text { (c) } f(0)} & {\text { (d) } f(1)}\end{array}$$

Forgiven the graph of a function and were asked to find the domain and range of this function and in each part, whereas defined a given function value. So the function is located and exercise 10 of this section. We see it's graft there now to find the domain of dysfunction. You want to find all the exes such that there is a why such that the point x y lies in the graph. So we see that given any X on the X axis, if we draw a vertical line through this point, we will intersect the graph at exactly one point. And therefore it follows that every X is in the domain the domain of our function. Yes, is the open interval negative infinity positive Infinity or the set of all real members are to find the range of our function. We want to find the set of all Why such that there is an ex such that the point X y lies in the graph. Now we see that clearly if why is less than or equal to one? We draw a horizontal line Through that point on the y axis we will intersect the graph at at least one point. Therefore, all of these points lie in the range of wine. It's the range of why includes it least all. Why? Less than or equal to one? What about why greater than one? Well, if you draw a horizontal line through any of these points creator than one on the Y axis, see that we don't intersect the graph anywhere, and therefore these points do not line the range. So the Ranger of Function F this is interval negative. Infinity of 21 closed bracket, now in part a were asked to find the value f of negative, too. Well, we look for negative to on our X axis. We draw a vertical line through it. We find the point at which this vertical line into your sex the graph. We see that this is at about why equals negative to some negative two? Is our function value here? Alternatively, one could make the argument. It's kind of hard to see that it's negative. Three. I would accept both answers, but the book says negative three. So we'll put that here now in part, B there has to find the function value f of one once again. We look for one on the x axis, draw a vertical line through this point and see where intersex our graph. He said then six a graph at the 60.10 and therefore the value of the function at this point is zero in part C were asked to find the value f of zero. So we look for zero on the x axis. We draw vertical line through this point and we see where the vertical line intersects our graph. This happens at the 0.1 so f of zero is equal to one finally in part D whereas to find the value f of to so we look forward to on the X axis Dry vertical line through this point, See where it intersects the graph. You see, this happens at about to negative three. I would accept you to negative Fouras Well or too negative too. So we have the f of two is negative three

Were given the graph of a function and were asked to find the domain in range of the function F and the indicated function value. The graph of the function is located following exercise seven of this section. Yeah, so the first to find the domain and range of our function. Well, let's look at the x axis of this graph. We see that tracing the function function goes to both positive and negative infinity along the X axis. So the domain of the function f is going to be an interval notation from negative infinity to infinity. Of course, this can also be written. As he said of all riel members are now to find the range of our function. Let's look along the y axis. So we see that looking at the graph of our function, the function is always greater than or equal to y equals negative four and it goes to positive infinity. So our range of our function this is going to be from negative for inclusive to positive infinity notice that I've added the bracket here now in part a. The function value is f of negative too to find this value well, Look at the graph of our function. Find X equals negative two on the X axis and we'll trace up or down until we find where this intersex paragraph we see that it intersects the graph at why equal to zero and therefore the value of our function f at negative two is zero. Yeah, next in part B were asked to find the value f of negative one. Excuse me, so we'll do the same thing. We'll look at our graph. Look for negative one on the X axis. Excuse me and then will trace along the vertical line through this point until we find our graph. So if we trace downwards, we see that we intersect the graph and we do this at approximately. Why equals negative two on the Y axis. So the value of our point native one is negative. Two. Of course, one could also look at this and think that it's negative one. It's a little bit hard to tell here, so let's just say negative one. This is the answer that the book gives. After all, Next in part, C were asked to find the value f of one half. So to do this we look for one half on the X axis and then we find the corresponding point on the Y axis where we see that this intersects the line white zero. So the value is again zero. Now, finally, in part D rest find the value f of one. So we look at our X axis Moved to X equals one. Let me look to see where this intersects the graph. We see that the vertical line intersects the graph in the horizontal line. Why equals negative three? So the value is negative. Three. Alternatively, it might be a little bit harder to his side here. One could say or could make the argument that it's actually negative to, as the book does, so we'll just write negative, too, that would accept negative two or negative three personally.

Flowing this question. We're being us, the homely chains about this far right here. So first of all, let's see up over 11. So let's go to 11. And we can see that this is the point right here. At which point when I actually posted 11 we have why Equals was reshot. This equals two three. Likewise, up to we can see here does he goes to one careful ***. One. It's a 40 foot video because we can see that one X equals two white for zero. I felt because today what? What ***? One, the original negative one on the ground so that this doesn't exist. So on the vine, fine after of X equals to choose. So my neck. So we look for when it's too. We can see that the X value equals six. So ex Yukos to say after vexed. Because the *** one cup of X does not go below the exact sir so that that's also in the bond. Well, let's find the domain and the range put on me. We can see the graph starts for X with a square starts from two to infinity. So we goes from to bring energy. Likewise, we can see what a range X goes farm. So why it goes from zero to that's it.

Dusty function. Um, more minus two X. It's a Lexus is a four minutes to max when x is greater than one, but less than well, that's graft island. Teoh mi Word time are all right. I get it. All right. Normally, what would happen is we have the white Anderson. But we don't actually reach here because our exes only our functions only defined for exes from 1 to 4. So, um, hear Thio? Yeah. So what is one? That's plug it in? That would be two. And that makes sense, cause me have a little native to So we go down to to the right one. So we're right here when we continue going down two to the right one, and then we're opening here. I can't. So that's what I graphed looks like and now they want us to play in the domain and range. Well, it looks like the domain is from wants. Afford it. And it looks like the range. Well, what's the smallest value? It doesn't include huh Here. Since I didn't write it out, we can just plug it in. Let's save you some time for me. Graphene. If you could just do this four minus eight, which is negative, for we're not including it. So open on a good report. Thio two. That would be arranged. Okay.


Similar Solved Questions

5 answers
Using Kirchhoff's rules, find the following. ( 61 70.2 V, 62 61.2 V, and 63 79.6 V.) 4.00 kO d 81 82 Rs 83Rz 3.00kn2.00knRi(a) the current in each resistor shown in the figure above IR~ mA Jaz mA 1a? mA(b) the potential difference between points € and magnitude of potential difference point at higher potential Select-- -
Using Kirchhoff's rules, find the following. ( 61 70.2 V, 62 61.2 V, and 63 79.6 V.) 4.00 kO d 81 82 Rs 83 Rz 3.00kn 2.00kn Ri (a) the current in each resistor shown in the figure above IR~ mA Jaz mA 1a? mA (b) the potential difference between points € and magnitude of potential differenc...
5 answers
Design a synthesis the following amine D starting from aniline.NHzMeH
Design a synthesis the following amine D starting from aniline. NHz Me H...
5 answers
-/3 pointsHRW1O 5.P.017.SSM:Refer to the figure below Let the mass f the block be 8.1 kg and the angle be 452.Find the tensionFind the narmn #arce acting on the block,tne cord cut; find the magnitude 0f the resulting acceleration of the block_ nvszAddilional MaterialsSeclion 5,3Submit AnswerPraclice Anolher VersionType here t0 searchHiqouleycord;
-/3 points HRW1O 5.P.017.SSM: Refer to the figure below Let the mass f the block be 8.1 kg and the angle be 452. Find the tension Find the narmn #arce acting on the block, tne cord cut; find the magnitude 0f the resulting acceleration of the block_ nvsz Addilional Materials Seclion 5,3 Submit Answer...
4 answers
What is 1 1 (10+10 points) tnc p-rulue fur [MI l3t} b) Is it rcasonable to conclude that the proportion of voters O) & sample of 250U people: 1 15 grcater than H 55% at 1% valuco 2 Significatice?? (0.56[ 1
What is 1 1 (10+10 points) tnc p-rulue fur [MI l3t} b) Is it rcasonable to conclude that the proportion of voters O) & sample of 250U people: 1 15 grcater than H 55% at 1% valuco 2 Significatice?? (0.56[ 1...
1 answers
People commuting to a city can choose to go either by bus or by train. The number of people who choose either method depends in part upon the price of each. Let $f\left(P_{1}, P_{2}\right)$ be the number of people who take the bus when $P_{1}$ is the price of a bus ride and $P_{2}$ is the price of a train ride. What can you say about the signs of $\partial f / \partial P_{1}$ and $\partial f / \partial P_{2}$ ? Explain your answers.
People commuting to a city can choose to go either by bus or by train. The number of people who choose either method depends in part upon the price of each. Let $f\left(P_{1}, P_{2}\right)$ be the number of people who take the bus when $P_{1}$ is the price of a bus ride and $P_{2}$ is the price of a...
5 answers
Results Displayed AII AnswersQuestion 1For the following partial fraction decomposition; find A B, €. X+2 XtSx+4x X+l X+4Answers:None of the above Is correct A=3 , 8 = -2,C=-1A=5.8-4,C-3 A-3.8= C=
Results Displayed AII Answers Question 1 For the following partial fraction decomposition; find A B, €. X+2 XtSx+4x X+l X+4 Answers: None of the above Is correct A=3 , 8 = -2,C=-1 A=5.8-4,C-3 A-3.8= C=...
5 answers
118.51 Sodium volume of the acid solution required? carbonate rcacted U solution perchloric furstd: What Is minim the um
118.51 Sodium volume of the acid solution required? carbonate rcacted U solution perchloric furstd: What Is minim the um...
1 answers
Solve each system. $$\begin{aligned} x^{2}+y^{2} &=20 \\ x^{2} &=y \end{aligned}$$
Solve each system. $$\begin{aligned} x^{2}+y^{2} &=20 \\ x^{2} &=y \end{aligned}$$...
5 answers
Uec eitkar indintt mncof conditional proof (or both) and the cighlecn mules bby.DcTIT Cconcluston: 0( thc symbollzcdNETE: Includk the nutnbcn ol thc fint and you Kientily with CP or IPinknlcd prcmniscs whcn listing thx prcmiscs that you drJw upon #upaonDrcmiay 0ykT4unconcluslo 55 (T 5 5)
Uec eitkar indintt mncof conditional proof (or both) and the cighlecn mules bby. DcTIT C concluston: 0( thc symbollzcd NETE: Includk the nutnbcn ol thc fint and you Kientily with CP or IP inknlcd prcmniscs whcn listing thx prcmiscs that you drJw upon #upaon Drcmiay 0yk T4un concluslo 55 (T 5 5)...
5 answers
Which of the statements is/are True according the reaction? 4 Nals) + Ozlg) v 2 NazO(s) AH = -260 kJ I.The reaction is exothermic;II. If the reaction is system, the temperature of surroundings decreases. III: The standard enthalpy of formation of NazO is -260 kJ.all threeIII onlyboth and IlIboth and IlT only
Which of the statements is/are True according the reaction? 4 Nals) + Ozlg) v 2 NazO(s) AH = -260 kJ I.The reaction is exothermic; II. If the reaction is system, the temperature of surroundings decreases. III: The standard enthalpy of formation of NazO is -260 kJ. all three III only both and IlI bot...
5 answers
Suppose A is a 3x3 matrix, u and v are vectors inR3 and c is scalari) Write a proof showing A(u+v) = Au + Avii) Write a proof showing A(cu) = c(Au)
Suppose A is a 3x3 matrix, u and v are vectors in R3 and c is scalar i) Write a proof showing A(u+v) = Au + Av ii) Write a proof showing A(cu) = c(Au)...
5 answers
Problem 11.930l 15Ratar420kg objc ( Moto Iu ni wilh # :octd expelences [ne#oice snown Ine mure (FieMu mPart AWhataretihe olrc s Koeta and direconamenhe lorce ends?Exprese Yout Jnjwtt (0 IWo Jiqninicani @oure} and Include (Nc epproptietc units Enter posluve velue M the sptdd dlrected tnc rioht und neqtuve value charenaad Drachkd WnenrnFiqur161SubrnitPrevoui Ansmt Requat AnttIncorect; Try Agaln; ettampiz remeining0l50 <Provice FeecbackNext >
Problem 11.9 30l 15 Ratar 420kg objc ( Moto Iu ni wilh # :octd expelences [ne#oice snown Ine mure (Fie Mu m Part A Whataretihe olrc s Koeta and direconamenhe lorce ends? Exprese Yout Jnjwtt (0 IWo Jiqninicani @oure} and Include (Nc epproptietc units Enter posluve velue M the sptdd dlrected tnc rioh...
5 answers
14. Prove that for every positive integer n; ER =1k2k (n - 1)2"+1 +2
14. Prove that for every positive integer n; ER =1k2k (n - 1)2"+1 +2...
5 answers
Iah tabung lingkara Iaan V=m"h den kusah diganti men Menn
Iah tabung lingkara Iaan V=m"h den kusah diganti men Menn...
4 answers
CalculatefIe dS where F = (428 2,4y3 2,324 )and S is the surface of the solid bounded by the hemispheres 2 the plane z = 0.4 - 22 y2 , 2 =1 _ c2and
Calculate fIe dS where F = (428 2,4y3 2,324 ) and S is the surface of the solid bounded by the hemispheres 2 the plane z = 0. 4 - 22 y2 , 2 = 1 _ c2 and...

-- 0.022740--