MX1 FWWF graphing relationships (1 Viewer)

gamja

Active Member
Joined
Dec 14, 2022
Messages
119
Gender
Undisclosed
HSC
2023
with sketching the curve 1672459869830.png [how tf are you supposed to do latex bruh], why are there suddenly values of y>4 and y<=0 but no values 0<y<4? How to explain when writing range for function? Thanks in advance :)
 

Average Boreduser

π™±πšŠπš—πš—πšŽπš
Joined
Jun 28, 2022
Messages
2,500
Location
Somewhere
Gender
Male
HSC
1998
Consider this graph:
Screen Shot 2022-12-31 at 3.31.07 pm.png\
If we had a range of 0<y<4, that would mean that the graph is restricted on vertical. We can observe that the right and left top components are on a H.A, therefore, the graph still progresses to + infinity but doesn't touch 4; only approaches it.- hence, the range will be restricted at 4 {y>4}. the remaining component of the graph touches the origin and then moves towards -infinity, this means that our range for this part of the graph will be y<=0 - Note that range doesn't have to be in that exact form of inequality that you stated previously. You're simply stating where the graph approaches on the y-axis (ie range).
 

5uckerberg

Well-Known Member
Joined
Oct 15, 2021
Messages
562
Gender
Male
HSC
2018
with sketching the curve View attachment 37314 [how tf are you supposed to do latex bruh], why are there suddenly values of y>4 and y<=0 but no values 0<y<4? How to explain when writing range for function? Thanks in advance :)


First, off focus on differentiate that we will have and if you differentiate it again then we will have , here if you have then the answer will be negative which means that is a maximum turning point and when . As such there is no values between 0 and negative 4. Now when you add 4 shift everything up by 4 and there you have answered your own question.
 

Average Boreduser

π™±πšŠπš—πš—πšŽπš
Joined
Jun 28, 2022
Messages
2,500
Location
Somewhere
Gender
Male
HSC
1998


First, off focus on differentiate that we will have and if you differentiate it again then we will have , here if you have then the answer will be negative which means that is a maximum turning point and when . As such there is no values between 0 and negative 4. Now when you add 4 shift everything up by 4 and there you have answered your own question.
I think that's a du question 4x^2/x^2-1
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top