5

Sketch the graph of the rational function by hand. As sketching aids, check for intercepts, vertical asymptotes, horizontal asymptotes, and holes. Use a graphing ut...

Question

Sketch the graph of the rational function by hand. As sketching aids, check for intercepts, vertical asymptotes, horizontal asymptotes, and holes. Use a graphing utility to verify your graph.$$f(x)= rac{x^{2}-16}{x-4}$$

Sketch the graph of the rational function by hand. As sketching aids, check for intercepts, vertical asymptotes, horizontal asymptotes, and holes. Use a graphing utility to verify your graph. $$f(x)=\frac{x^{2}-16}{x-4}$$



Answers

In Exercises $9-26,$ sketch the graph of the rational function by hand. As sketching aids, check for intercepts, vertical asymptotes, horizontal asymptotes, and holes. Use a graphing utility to verify your graph.
$$
f(x)=\frac{x^{2}}{x^{2}-4}
$$

Okay, so we want to determine. Or but that hasn't stopped here. So that's one Arjun on window. There is equal to their own, so we can back this into an X minus two and in X Plus two. So we see that we have to vertical Asif's hopes when X is equal to two on day negative two.

We have given the car on the question. Why equals toe affects equals toe Xs Square minus 16 divided with X plus. For now, we can simplify it as X squared, minus four. It's good divided with X plus food. I can write it as X minus four and X plus four developed with X plus four now considered. We left with only X minus four. That went y equals two X minus four is a straight line and the gravel we so the robbery y equals two X minus four is here.

Efforts is equals to one divided by X plus two right into sin is often by putting X equals 20 That means Ryan to step a zero comma. How x intercept! There's no eccentricity. Why? Because the numerator part that is one This is never equal to zero We have a vertical isn't how we calculate vertical listen to buy Finding the zeros off denominators express to educate Cejudo gifts, X is equal to minus two. That is the vertical ascent. Now we have to find out the hard isn't a lesson, told Onda. We find horizontal s into by ending extra dense And so, as degree off annexes less than degree off DX, we have bodies under lesson toe wise, you close to zero. Let's find some more points in orderto easily escapes the graph off effects. So for next one divided by four wise four divided Berlin for its one wise one divided victory for X minus two, it is not their find on the value of fixed minus C. The value for is minus. So planting the points let's get it is this graph has two parts one in the third quadrant on another one in the forced on second quarter. So this is the cap off and thanks

Effects. Easy cause toe one divided by X minus six. To find out the Y intercept, we put X equals 20 on the Y Intercept Alba Zito Comma minus one divided by six We do not have any X intercept. Why? Because new minute apart can never be too busy. Now we'll find out. Vertical ascent. Goodbye. Finding the zeros off denominator and that is X equals 26 for extrajudicial sixes. Vertical ascent. Horizontal, Essam told, is why you costumes? You know why? Because the degree off annex is the degree off numerator parties less than Diggory off the momentum. Let's up Final Some more points on effects in order to easily skate FX so X minus one white minus one, divided by seven x three. Why is minus one divided by three x six. Why is not defined Undefined on the forex? Five. Why is minus one for next seven Wise starting all these points? Let's so far, it's five. It is minus one for X seven. It is one at six. It is not the point. So the Red Telegraph is the graph off effects passing from all the points


Similar Solved Questions

5 answers
(7pt) A 224 block ofiron specific heat 0.445 Jtg "C) is at tempcralune of 28.7 "C. What is its final [emncrture il 6.85 kJof heat are removed from it?
(7pt) A 224 block ofiron specific heat 0.445 Jtg "C) is at tempcralune of 28.7 "C. What is its final [emncrture il 6.85 kJof heat are removed from it?...
5 answers
Identify the stage of mitosis shown here:~telophase anaphaseprophasemetaphaseSubmitRequeal AnewerProvide Feedback
Identify the stage of mitosis shown here: ~telophase anaphase prophase metaphase Submit Requeal Anewer Provide Feedback...
5 answers
Find the area inside both curves for a 5E1u5un20a#c05 20(Use symbolic notation and fractions where needed )
Find the area inside both curves for a 5 E1u5un20 a#c05 20 (Use symbolic notation and fractions where needed )...
5 answers
L5 7 6 015. If possible, find the inverse of the following matrix. (2 points) 3 A = 2 -6. Solve the following linear equations using inverse matrix: (2 points) 2x y = 9- 6x 3y = -18Tualashy !Ununerd Stotaal
L5 7 6 01 5. If possible, find the inverse of the following matrix. (2 points) 3 A = 2 - 6. Solve the following linear equations using inverse matrix: (2 points) 2x y = 9- 6x 3y = -18 Tualashy !Ununerd Stotaal...
5 answers
~trcig Cideedt geolan 03 Qutadan QpSolve the follotring IVPby tbe Laplece Iransfari:Sy = I6cos (2t). >(0) 12.8. (0) =24.8Eikclose itgunnIsMncllune Funeru HnelATaenAaenrnTeMnceca For eample sin ( 2 T)or (a - bV(I+")MilcTcandicate multinlicaticnexample_f ()( +b)"J+d).tan (& W)o &*F(t)10GaIeHIMFLHE Totut
~trcig Cideedt geolan 03 Qutadan Qp Solve the follotring IVPby tbe Laplece Iransfari: Sy = I6cos (2t). >(0) 12.8. (0) =24.8 Eikclose itgunnIs Mncllune Funeru HnelATaenAaenr nTeMnceca For eample sin ( 2 T)or (a - bV(I+") MilcTc andicate multinlicaticn example_ f () ( +b)" J+d). tan (&...
5 answers
If 2700 cm? of material is available to make a box with a square base and an open top; find the largest possible volume of the box_
If 2700 cm? of material is available to make a box with a square base and an open top; find the largest possible volume of the box_...
5 answers
Solving using the Quadratic FormulaUse the following equation to answer the questions below:2h2 4h - 6 = 0Solve by using the Quadratic Formula below:2^2+4*2*-6h =2*2Enter all the solutions to the equation aboveSubmit AnswerSome items were not submittedTries 0/5 Previous Tries
Solving using the Quadratic Formula Use the following equation to answer the questions below: 2h2 4h - 6 = 0 Solve by using the Quadratic Formula below: 2^2+4*2*-6 h = 2*2 Enter all the solutions to the equation above Submit Answer Some items were not submitted Tries 0/5 Previous Tries...
5 answers
Firid (he exacl value ol Ihe expressions cos(a + f), sinla ' N) and tanla 0) undar Ihe Iollowing condilionssinla)Iios In quadrant und sin(()0 lies In quadiart IIcos(u (Simplily your answor Type an oxact answol; Using radicals as noodod Use Inloqers Ot (ractions Ior Any numbors In
Firid (he exacl value ol Ihe expressions cos(a + f), sinla ' N) and tanla 0) undar Ihe Iollowing condilions sinla) Iios In quadrant und sin(() 0 lies In quadiart II cos(u (Simplily your answor Type an oxact answol; Using radicals as noodod Use Inloqers Ot (ractions Ior Any numbors In...
5 answers
Consider the function y = ~2tan 2x _Find the (a) amplitude (b) period (c)phase shift (d) vertical shift. Graph the function over two periods. Show all details_
Consider the function y = ~2tan 2x _ Find the (a) amplitude (b) period (c) phase shift (d) vertical shift. Graph the function over two periods. Show all details_...
5 answers
Ch-0hPredict the finul product ofl ONE ol te followalg Icnctias snowing mectanisi z 75 (*JuLItG €leclrin-Tushing: E2lzIk) Atbul KAOHCitseU RalchOCHS
Ch-0h Predict the finul product ofl ONE ol te followalg Icnctias snowing mectanisi z 75 (*JuLItG €leclrin-Tushing: E2lzIk) Atbul KAOH CitseU Ralch OCHS...
5 answers
It has been suggested that limits be put on the dose in vitamin A supplements sold in stores. What is a possible reason for this limitation?
It has been suggested that limits be put on the dose in vitamin A supplements sold in stores. What is a possible reason for this limitation?...
5 answers
Lilta iJnduviol & unltoti dslrity UJ pClin ) Is distlbuled aver enlinc iuIIL chdipz Utllonn derislty @ Mat)) Is dnttibite67 Uic-Id tOr nny polnt witl; Dm cerellel akine drilrcd ti z = >0 m [eterne Ih" magnlluile0,0565 NcRepOI0,2025C0.1412 NiCDemfN"0,565 WC
lilta iJn duviol & unltoti dslrity UJ pClin ) Is distlbuled aver enlinc iuIIL chdipz Utllonn derislty @ Mat)) Is dnttibite67 Uic-Id tOr nny polnt witl; Dm cerellel akine drilrcd ti z = >0 m [eterne Ih" magnlluile 0,0565 Nc RepOI 0,2025C 0.1412 NiC DemfN" 0,565 WC...
4 answers
Let n € Z and m € N. The least residue of n modulo m is the unique integer among 0.1. Which n is congruent modulo For k € Z explain why k2 (mod 4) or k2 =1 (mod 4). Prove that integer which is congruent to 3 modulo 4 can be written as sum of two squares_ That is if n = 3 (mod 4), then there are no integers and y such that 12 + y2_ (Hint: the contrapositive:
Let n € Z and m € N. The least residue of n modulo m is the unique integer among 0.1. Which n is congruent modulo For k € Z explain why k2 (mod 4) or k2 =1 (mod 4). Prove that integer which is congruent to 3 modulo 4 can be written as sum of two squares_ That is if n = 3 (mod 4), ...
5 answers
X = ExE(x-x)2 -1Sample Variance z(*s)IQR Q: - Q1lower limit (fence) Q - 15 . IQRupper limit (fence) Q3 + 1.5. IQRChebychev' $ Theorem: 1 - 7I~2 = X-z =*-LComplements: P(Ac) = 1 -P(A)General multiplication rule: P(A and B) = P(A) . P(B | A)Special multiplication rule: P(A and B) = P(A) . P(B)n(Aand B) n( B)P(A and Conditional: P(A | B) = (4)dGeneral addition rule: P(A or B) = P(A) + P(B) - P(A and B)Special addition rule: P(A or B) = P(A) + P(B)
x = Ex E(x-x)2 -1 Sample Variance z(*s) IQR Q: - Q1 lower limit (fence) Q - 15 . IQR upper limit (fence) Q3 + 1.5. IQR Chebychev' $ Theorem: 1 - 7I~ 2 = X- z =*-L Complements: P(Ac) = 1 -P(A) General multiplication rule: P(A and B) = P(A) . P(B | A) Special multiplication rule: P(A and B) = P(A...
5 answers
5. Solve the following system of nonlinear equation using Newton '$ method Start at +(1) = and y (17 = 1, carry out the first two iterations until x (Jandy are found:4x_y +28 =0 3x' +4y _ 145 = 0
5. Solve the following system of nonlinear equation using Newton '$ method Start at +(1) = and y (17 = 1, carry out the first two iterations until x (Jandy are found: 4x_y +28 =0 3x' +4y _ 145 = 0...
5 answers
POINTSSCALCCC4 4.2.029.Mi:eale crecnlnumIntheuncian9Y) =IsmallotManqar YahinNeed Help?-foinsSCALCCC4 4.2.033,Mhuaneaontcal mnWunchnn entelt(ucilontAMuFe-eee(Hrquut Valiu)Need Help?Foon (Wlae
POINTS SCALCCC4 4.2.029.Mi: eale crecnlnumIn theuncian 9Y) = Ismallot Manqar Yahin Need Help? -foins SCALCCC4 4.2.033, Mhuaneaontcal mn Wunchnn entelt (ucilont AMu Fe-eee (Hrquut Valiu) Need Help? Foon ( Wlae...

-- 0.022714--