[Music] hello Hamed so in the discussion opinion is all about piecewise function purchase a lesson wants a general mathematics or continuation intersect in this case net and about function so an abiding piecewise function a piecewise function is a function that is defined by two or more equations where each equation applies to a certain interval over specified domain so chimera by you Nikita Margarito and that is a piecewise function so a bag marking and grab that is a sample of piecewise function so Parimal alone a teammate in the end how to find the value and graph of piecewise function so given a piecewise defined function f of X is equal to 3x plus 2 if your X is greater than or equal to 0 negative x squared plus 3 if your X less than 0 so gaga meeting at a new function at all kappa game beginning X a greater than or equal to 0 so apart I'm value not in a positive 3 1 2 3 4 and so on start with 0 sweetie gaga meeting you function better by less than 0 or negative numbers you can keep anybody any X so your function the gaga meeting at a little young f of x equals negative x squared plus 3 let's try to answer F of 0 and F of negative 3 so para MacEwan attenion f of 0 a link I added as a function at one gamete in at in say 10 tipping your son's here Madiba sadita less than zero so Hindi Saudi - I think I got movie nothing function f of X is equal to 3x plus 2 kappahd kill X don't know a greater than or equal to 0 since I mean hannahb that and is f of 0 so therefore it Donald kohonen attend or gamma t nothing function so since X is equal to 0 we use f of X is equal to 3x plus 2 so simply substitute the value of x 3 times 0 plus 2 so the answer is 2 so how about negative 3 demand poor since that is negative value long x know it on GOG a meeting attend a function Sabbath our f of X is equal to negative x squared plus 3 kappahd your XA less than say 0 City of God are making a tin Sok and anna-lena processor excessive digit tire so negative 3 squared so again since my negative tired Ito no so very particular case it is a sign it's a credit I'm a caramel a cup of the tire or marking it's a sign again it's a substitute nothing negative 3 don't say Excel again you know parentheses and then he will not be negative syllabus so negative 3 times negative 3 is positive 9 so mugging negative times positive 9 is negative 9 plus 3 so the answer is negative 6 okay so Menino saying oven kappa nice and numa given d to a hundred three more than three know it though sketch the graph of the given piecewise function what is F of negative 5 and what is f of 3 for letter e f of X is equal to X plus 3 if your X is greater than or equal to 0 and then negative x squared plus 3 if your X is less than 0 so thing they're not then turning your panini so now I'm gonna not in C letter e since anapa hannahb see negative vibe there for a non-functioning agony be nothing you less than 0 city only so it's a negative x squared plus 3 so a guy a Sugino a pnina supreme you slide this up the chitlin at then so again again a parenthesis negative 5 times negative 5 is positive 25 times negative that is negative 25 plus 3 so that's is negative 22 and if your X is 3 unknown jogger maybe not then it'll don't function at all so therefore simply certitude answer is 6 my own and I mean our application of petting yoga meeting but Makita you'll grab nice an equation or in a function so I'm glad you get a gummy tissue desmos know it a young this was for dipping and nothing in Safari that were saying okay so you learning in a gonna come grab a pad like paper Center so for example you know eat an apple okay so halimbawa Plessy is to get to market a young grab neato the time millimeter f of X is also represented as ye so looking at and white goo Tsunade married a young graduate of Y is equal to X plus 3 okay pero Marin tyonne and a detour let's take show no I'm excellent at then the but greater than or equal to zero so panning a lilac again so that they can learn in bracket you canyon ill again yo X so the veto did take my kid I am greater than or equal to 0 okay so idiom drop ya know to learn him a gig in Gretna I say particular shatterz i am but i learned up at 9 XA greater than or equal to 0 where acapella neato your restriction being an attic in Gretna so straight line sure no y is equal to X plus 3 since my restriction tie on the file and I knew X naught and I greater than or equal to CL and effort so bring in your graph yeah we're gonna do grab Impala wah so Y tournament so the net in y equals technolon negative x paper mean the thing is on top is exponent x squared plus 3 so it is muggy king-crab yeah pertaining the not a quadratic function decision example the quadratic function you say no literally nettings negative care down wagon graph you can grab yeah param a restriction die or a young x donut in a less than 0 so looking again X is less than 0 so in a MIDI getting the ensuring a cigarette okay so union des most wedding Otunga meeting on the cell phone to the página Mika tied down with ito downloadable mentor you have a learning internet kappa got a meeting at all honey my goes to my capital grab say to dump in the dino it later in duty neil onion and then it will export he needs an about me assignment a in a gallery new so manila get it inside iranian region and then download PNG then another in you but it is a presentation so good non-organic in this most mike Itamar getting grabbed so Annina been a little grab no sodium grab little piecewise function at all c'était all graphing our next example tire okay / letter b f of X is equal to X plus two if your X is less than or equal to two negative x plus three if your X is greater than or equal to two okay since the value or the first one is negative five so it's a substitute like naughty negative five data so don't function you express to so negative five plus two that is negative three Kampala why you three f of three so substitute lambda not in detour so negative three plus three so the answer is zero so gamma cloneville it you grab or pedicle government written in desmos but clean up nothing n say - um grab Nieto it won't function at item a gig in crap yeah so ceremony no saying an oil grab piecewise function okay so we begin by nom sample problem no person may apply C piecewise function a user charge 300 pesos monthly for a particular mobile plan which includes 100 free text messages messages in excess of 100 are charged one person each represent the amount of customer peace each mind as a function of the number of messages M sent in a month so and I'm not in a lab ko I was Lahab near my cell phone now so his parents and the rains and needs me or no cuz I'm Annessa needs to say and I'm in Garmon yang times of communication okay sabi down McBee began and 300 pesos monthly summable plan pero my particular Xiang number and text messages okay in 300 pesos monthly more kasama long de nition 103 text messages so a bug net exists casa exit card 100 text messages so mikvah biood garden or a much charge gonna one vessel so doing some exist mana got me okay so ibig sabihin any mouth open up at 101 text messages castle nomad pass condenser so madad actor gets a 301 peso per my percent saying yo so we need to press a good mamita of piecewise function una a so let T of M bucket p sa text messages but they'll obtain a variable he'll again you know running soggy banner impersonating and even represent the amount paid by the consumer each man it can be expressed by the piecewise function so can it to share anything any present now in problems at all sappy my biking and 300 pesos cap on your number of messages more I greater than or equal to 100 or your the number of messages is greater than 0 but less than or equal to 100 or pedaling amend that your M is greater than or equal to 100 now and less than or equal to 100 balem so you need to measure a percent so compact Magadan and 300 pesos kappa you number of messages more I hang on 100 text messages llama perro Copaxone abraca so 100 text messages magma by tienen el piso halimbawa mob would can have 105 text messages so healing you so Bravo 5 so you so Bravo 5 it added so equivalent kills of bypass or Samba by Erin white 305 pesos so if you commit an piecewise function another okay since nasarah Manila tyonna very particular ties but by Biden tricycle case a missin like really climate IAP addressing in Tainan hand I want you to focus in this but I'm too dumb to saying ever consumers are again in trying to care line up a big line and obscene entertaining on hand so if you Gaga one piecewise function sabi dito 20 pesos Inga bites a tricycle for the first one kilometer then McKagan animal piece or in every per half kilometer so a tricycle right cause 20 pesos for the first one kilometer in each additional per hop kilometer adds five pesos to the fair he is a piecewise function to represent the tricycle fare in terms of a distance D in kilometers some Committee nothing later you will be Cassidy stands so the input value is the distance in the output is the course of the tricycle fare sort we're using this now as a representation of our function so f of D represent the fare as a function of these stands the function can be represented as final so but nothing in it represent the end twenty pesos kappa and distance i equals a 1 kilometer so by biking ambient a or 20 pesos kappahd 1 kilometer long distance and then another map represent halimbawa umar Buchannon 3 kilometers so maha kassapa so ma ni or no trainable mama but now three kilometres so Panna not in it represent you using piecewise function Kayla and Tama so it to yan it will compact limit per second is a one kilometer mikvah by Jenna 20 plus five pesos times B minus 1 divided by 0.5 so far nothing much Tecna Tama you piecewise function not in at all for example Messina sabi ko marble cannon that look in this stance when I travelled more three kilometers McCarney b'bye it was a crisis again got an idiom function at all Japan ceasing healing can apply security malam a column or a computer know at a number in the necklace you see behold and ganito ordnance much bye-bye and Kenneth Dhamma so ceasing in Lincoln and Tama get up Atmos Mahalo I'm a single sailor predicament complain so halimbawa class three kilometers sent in opponent tricycle and three kilometers malai unit oh so it's a sub the chitlin attendance Edina ten sub formula so 20 plus 5 by returning Dino 3 minus 1 divided by 0.5 equals 20 plus 5 so 3 minus 1 is 2 divided by 0.5 and 2 divided by 0.5 is 4 4 times 5 is 20 plus 20 40 pesos sorry Baba is a tricycle I'm 40 pesos love kappahd Neha that know the hot 3 kilometers no pero ha Pagani bow-wow bow-wow raha handling higher the hot delawanna killer Metro Lyndon didn't processor 2-1 so I gotten 1 1 divides ear 0.5 the answer is 2 2 times 5 is 10 that's 20 30 % but I'd miss a tricycle so Mahalo game piecewise function K say AHA - don't saying you're not to give you a formal our they seriously / represent you know Oh panic in the computer memory bad day and the problem operating sample and piecewise function sod you be sorry about wholesale retail retaining and so pretty not in airplane piecewise function during Holi bhava kappa remod paris on the midline being a limo I'm pressuring an individual price no but 200 in the met by what he said Bharata by some poem beanie removed emit reading 185 nylon body sir so in my mug AMARG a new scenario that is the best example of piecewise function say they do not eat the whole agenda applying the piecewise function so sad Amina to tune in K Raven again thank you don't forget to Like subscribe and hit the bell water onto our Walmart channel