hi guys it's me teacher going into today's video we will talk about evaluating piecewise function so maraming students are requesting about this topic and someone we also uh we already have this kind of video pero let's create another content about evaluating face wise function so without further ado let's do this topic so it's not met in evaluating our pesos function guys it is a breaking down or hina hatihatimu is a given function or function in too many different parts so like this one we have here f of x can be equal to negative x minus four if your x is less than or equal to five your f of x can be two x square minus x if your x is x is greater than five but less than or equal to 10. so for you to understand well on how to evaluate this kind of pesos function let's have these examples as you can see at the main problem nothing okay so what we have here is f of x equal to negative x minus four if x is less than or equal to five next two x squared minus seven if your x is greater than five this one is read as x is greater than 5 but less than or equal to 10. again you need to analyze the sauna or you need to understand this one you will be using this function if your x is musculature 5 or equal like this one we are asked to evaluate f of negative two and f of seven let's start with f of negative two in this given input negative two you will think centro pass oxy negative two puntamine restrictions strict joins if this is negative two such a pasodito we have x is less than or equal to negative x is less than or equal to 5 or x is greater than 5 but less than or equal to 10. x is less than or equal to less than or less than or equal to 5 because i'm of the new 5 at 5 meaning they evaluate this in that important function we have f of 2 is equal to negative x minus 4. so parallel normally a function along after identifying whether the first one or the second one so what we need to do here is to substitute the value of x as negative two here so become negative times negative two minus four now replace the latency x negative two then copy the negative next negative two times negative is positive two then minus four simplify this one your f of negative 2 is simply 2 minus 4 which is negative 2. and this is the answer guys for the first given function next let's continue let's try another one using f of seven f of seven now we need to think consensual data your x here is seven here x is less than or equal to five in the surprise of these guys at the moment x is greater than five but less than or equal to 10 definitely associated because 7 is greater than 5 per less than or equal to 10 okay so we will use this function instead of this function limited attend we have 2x square minus 7. substitute the value of x which is 2 times 7 squared minus seven what's next is copy two seven squares 49 so times 49 [Music] minus seven then simplify these numbers so we will move this up so we have 2 times 49 is 98 minus 7 and definitely when you simplify this the value of f of 7 f of 7 is equal to 98 minus 7 which is 91 and this is tensor guys for in evaluating f of 7. now let's continue with another example guys for another example let's try to evaluate f of negative five okay and f of one now we need to evaluate this piecewise function using f of negative five check not in constellation negative five it is less than or equal to zero sodium in negative five nothing is the coverage now x is less than or equal to zero because in this inequality covered zero which is which includes the negative numbers so what will happen here as you can see unfunctional indeed is for simply 14 lung so dito f of negative five and since fourteen lacto water solution in which is that we have f of negative five is equal to forty language not in gen no more for the solution and sir what if we would evaluate f of negative three yes the f of negative 3 is still 14. okay let's continue with f of 1 for f of 1 your one is greater than zero but less than 15. so we will use this function we have x squared minus 9x so after copying this part of the function substitute the value of x which is one that is one square minus nine times one lattice so this is one square which is one one times one na one minus nine times one which is nine simplifying that nothing guys your f of one is equal to one minus nine which is negative eight and this is the answer guys so i hope guys now you learned something from this video on how we evaluate peacewise function again you can follow me through my social media accounts we have the facebook page and we also have the tiktok we're in empanada we're doing live tutorials during evening so you hope never participate in live tutorials so again if you're new to my channel don't forget to like and subscribe but you hit the ring bell button for it to be updated in latest uploads again it's me to sure going bye