Question
Draw the graphs of$$f(x)=[sin x], ext { where }[,]=ext { G.I.F }$$
Draw the graphs of $$ f(x)=[sin x], ext { where }[,]= ext { G.I.F } $$
Answers
Graph the function. $$ f(x)=-\sin x $$
So there's our equation, it's going to be a sinker, so it starts at zero. So remember a sign looks like a hill and then a valley. This four tells us. Now these are very important points. We can plot these critical values first, it's going to go up to four and down to four, and then we connect the dots.
If it's a little sign to its Grantley to drill so like select at X equal to y, the question will be with sine X equal to y now. Ah, realistic. Different value off at standby. And we'll get the mellow lick at birth like work as a 15 degree. Why would we signed 30 and center teas? It's a quick who for decide decree. Why would be signed 90 Resist. We're to 60 degree like we're 2120. Trey Burton, this is point. It happened and at night to decree Like where you find one dirty which is now Trista, cut off like we're inside. Yesterday's here it is by first point. It's way by this Ecuador S and X If we take one agitated any other dates I think 30 45 90 respectively. We locate the point. Gino Equipos, You certainly start the prepayments. Half there is here. You have party. There were no 45 90 90 belly. It is, respectively. It is again decreasing. Erdogan, when will take extra degree, It will come here and 90. I was gonna tease. So graph is like this and it is continuous stuff so we can continue this, like, like or sign
In this question, we have to sketch the raffle. FX is a quarto sine x and G excess accord to sign off exploiting so far that we will dress whites who will get this window first, make sure that your graph is and radian mood and not in the mood. Now, in first we will write Vibrant sign off X back close dress entered Now invite Oh, we will write Sign off Expert trees oppressed Sign X divided by she not breast entered not to get the cramp level presses on Since this is a trick metric raft with press seven z trick. So this is the graph off sine X in blue and this is the graph off. Sign off. Exploit three. We can also zoom out to get a clear picture off the glove off sine X by three Press entered. So now this is No. This is the rough off sign off. Expect Trian sine X
All right. Our goals to graph F of X is equal to negative. Sign of X. No, A vertical shift is zero or amplitude this time is negative. One. Our horizontal shipped is hero and R K Value is one. So our period is gonna be two pi over one, which is two pi. No, this is just a shift through the X axis, so X equals zero sign of X is gonna be equal to zero. Does not reflect the X axis because it's on the X axis Assigns equal hope. I have Sorry X is equal to pi. Have sign of pie halves is gonna be one. And then that's reflected through the X axis For the negative sign, she's gonna be negative one. No, that pie sign again is gonna be zero at three pie halves. Sign of three pie haves would give us negative one. So that's reflected through the X axis to give us one. And then a two pi signed once again. Zero. Now we go to the negative direction negative by halves would originally give us negative one, but it's reflected through the X axis to get with one and then sign of negative pie once again is zero. Now we just draw this with a little curvature We get just like that.