Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
student	so verifying the inverse is always equaling to x	14,365	154	[]
volunteer	plug in (x+4)/6 into the 6x-4 formula for the inverse	14,365	155	[]
volunteer	yes, always must equal x	14,365	156	[]
student	i think i should distrubute or something	14,365	157	[]
volunteer	6 outside the parens is in the numerator, 6 inside is in the denominator, right?	14,365	158	[]
student	um i think so	14,365	159	[]
volunteer	multiplying times 6 is the same as multiplying times 6/1	14,365	160	[]
volunteer	so numerator	14,365	161	[]
student	huh?	14,365	162	[]
student	im confused	14,365	163	[]
volunteer	if you write 6 as a fraction it is 6/1	14,365	164	[]
student	oh so like make it a fraction	14,365	165	[]
volunteer	yeah	14,365	166	[]
volunteer	no	14,365	167	[]
student	oh	14,365	168	[]
volunteer	it's easier than that	14,365	169	[]
volunteer	what can you do with 6 on the top, 6 on the bottom?	14,365	170	[]
student	cancel	14,365	171	[]
volunteer	yeah	14,365	172	[]
volunteer	isn't that simpler?	14,365	173	[]
student	wait thats it	14,365	174	[]
student	so they are inverses and thats way moe simpler	14,365	175	[]
volunteer	verified!	14,365	176	[]
student	perfect	14,365	177	[]
volunteer	indeed	14,365	178	[]
volunteer	you should be ready for tomorrow	14,365	179	[]
student	Course credits	14,365	180	[]
volunteer	you should be able to do difference quotient and inverse problems	14,365	181	[]
student	can we move on to domain and range of piece wise functions and drawing them too	14,365	182	[]
volunteer	hmmmm, OK	14,365	183	[]
student	i dont have any practice problems on it	14,365	184	[]
volunteer	none at all?	14,365	185	[]
student	let me look on google	14,365	186	[]
student	Mr. Miller< or equal 1 & 3/7x+15/7,x>}	14,365	187	[ { "pii_type": "PERSON", "surrogate": "Mr. Miller", "start": 0, "end": 10 } ]
volunteer	there's a grid	14,365	188	[]
student	ill write it on there sorry	14,365	189	[]
volunteer	we start with the endpoints	14,365	190	[]
volunteer	part of it is missing	14,365	191	[]
volunteer	probably x>1 at the end	14,365	192	[]
student	oh yea i forgot that part	14,365	193	[]
volunteer	first equation, what's the endpoint?	14,365	194	[]
student	wait what endpoint	14,365	195	[]
volunteer	the function is defined to equal -8/7 x - 2, but only for values of x where x<=1	14,365	196	[]
volunteer	so, from x = - infinity all the way up to 1, but not past 1	14,365	197	[]
student	the end is <=1	14,365	198	[]
volunteer	yeah, x=1 is the endpoint	14,365	199	[]
student	not <=	14,365	200	[]
volunteer	what is the value of f(x) when x=1	14,365	201	[]
volunteer	just x=1 for the endpoint	14,365	202	[]
volunteer	endpoint is a single point	14,365	203	[]
volunteer	what is the value of f(x) when x=1?	14,365	204	[]
student	there is no endpoint	14,365	205	[]
volunteer	what do you mean?	14,365	206	[]
volunteer	there is an endpoint at x=1	14,365	207	[]
volunteer	what is the value of f(x) there?	14,365	208	[]
student	like slope	14,365	209	[]
volunteer	value of f(x)	14,365	210	[]
volunteer	plug in 1 for x	14,365	211	[]
student	sure 1 there want any endpoint	14,365	212	[]
volunteer	?	14,365	213	[]
volunteer	there is an endpoint at x=1 what is the value of f(x) there?	14,365	214	[]
volunteer	value of f(x) plug in 1 for x	14,365	215	[]
volunteer	f(x)=-8/7 x - 2, for x=1	14,365	216	[]
student	this is all i have please point out the end point bc i dont see any endpoint	14,365	217	[]
volunteer	I'm telling you that because the first part of the function is defined for x<=1, there is an endpoint where x=1	14,365	218	[]
volunteer	but to find the whole point we need to know the y-coordinate, which is the value of f(x) when x=1	14,365	219	[]
volunteer	plug 1 into that equation and tell me f(x) for x=1	14,365	220	[]
student	negative?	14,365	221	[]
student	i dont know	14,365	222	[]
volunteer	just replace x with 1	14,365	223	[]
volunteer	like I just did on the board	14,365	224	[]
student	ok	14,365	225	[]
student	so the <= is a closed circle but we need th slope first right?	14,365	226	[]
volunteer	WE NEED THE POINT FIRST	14,365	227	[]
volunteer	AND WE DON'T YET KNOW Y	14,365	228	[]
student	what point? i thought were just graphing it?	14,365	229	[]
volunteer	WHICH IS WHY I KEEP ASKING, OVER AND OVER	14,365	230	[]
volunteer	we need to graph a point on f(x)	14,365	231	[]
volunteer	its x-coordinate is 1	14,365	232	[]
volunteer	we can't graph the point until we find the y-coordinate	14,365	233	[]
volunteer	please just answer my question about the point)	14,365	234	[]
student	im really lost	14,365	235	[]
student	can you find another problem	14,365	236	[]
volunteer	for x<=1, isn't f(x) defined to be -8/7 x -2?	14,365	237	[]
volunteer	other problems will not be any easier	14,365	238	[]
volunteer	isn't that the definition of f(x) for any value of x that is <=1?	14,365	239	[]
student	yes?	14,365	240	[]
volunteer	find -8/7 times 1 minus 2	14,365	241	[]
student	i got -30/14	14,365	242	[]
volunteer	no	14,365	243	[]
student	what is it	14,365	244	[]
volunteer	-3 1/7	14,365	245	[]
student	please explain how	14,365	246	[]
volunteer	like I just did on the board	14,365	247	[]
volunteer	what other explanation is necessary?	14,365	248	[]
student	where did you get -14/7	14,365	249	[]
volunteer	-2	14,365	250	[]
volunteer	multiply that times 7/7	14,365	251	[]
volunteer	which doesn't change it because 7/7 is 1	14,365	252	[]
student	oh	14,365	253	[]

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