HSC Stuff > HSC Mathematics Extension 2
Graphing question
RuiAce:
--- Quote from: 3.14159265359 on October 21, 2018, 11:20:58 pm ---I just had a look at Ruis answer and whoops I'm sorry I was mistaken for the second part. I apologise.
also Rui i don't get why you mean here
--- End quote ---
Basically the stuff towards the left of the \(y\)-axis reflects what happens, when we plug a negative value of \(x\) into our function \(f(x)\).
But when we start dealing with \( f(x^2)\), we're never gonna be 'taking f of a negative value' anymore. This is because the square of a real number can never be a negative number. So because we've arrived at something impossible, what was originally to the left of the \(y\)-axis on \(y=f(x)\), becomes completely useless when we're graphing \(y=f(x^2)\)
mikamika:
Massive thank you to the both of you!!!
Now that the 4u exam is only 3 days away, what would you suggest the plan of attack be? I've done HSC papers from 2017-2008, so are there any papers pre 2008 which have hard questions? I personally think i'm going to re-do questions I got wrong from the papers I've done
RuiAce:
--- Quote from: mikamika on October 21, 2018, 11:31:00 pm ---Massive thank you to the both of you!!!
Now that the 4u exam is only 3 days away, what would you suggest the plan of attack be? I've done HSC papers from 2017-2008, so are there any papers pre 2008 which have hard questions? I personally think i'm going to re-do questions I got wrong from the papers I've done
--- End quote ---
As a rule of thumb, the further back you go the more harder questions you'll see. 2001-2004 all had some pretty solid questions at the very end.
Redoing questions that you've gotten wrong is also a good strategy for before the day of the exams.
It's up to you how you want to balance between these two strategies you've mentioned. For me, I was just too lazy to re-do questions I had already done, although the strategy is still effective
3.14159265359:
--- Quote from: RuiAce on October 21, 2018, 11:28:54 pm ---Basically the stuff towards the left of the \(y\)-axis reflects what happens, when we plug a negative value of \(x\) into our function \(f(x)\).
But when we start dealing with \( f(x^2)\), we're never gonna be 'taking f of a negative value' anymore. This is because the square of a real number can never be a negative number. So because we've arrived at something impossible, what was originally to the left of the \(y\)-axis on \(y=f(x)\), becomes completely useless when we're graphing \(y=f(x^2)\)
--- End quote ---
ooh okay I get you!!
--- Quote from: mikamika on October 21, 2018, 11:31:00 pm ---Massive thank you to the both of you!!!
Now that the 4u exam is only 3 days away, what would you suggest the plan of attack be? I've done HSC papers from 2017-2008, so are there any papers pre 2008 which have hard questions? I personally think i'm going to re-do questions I got wrong from the papers I've done
--- End quote ---
no problem!! I reckon you go over your mistakes from the papers you have done and attempt hard questions from recent trial papers from either companies or schools, what ever you can find
mikamika:
Thanks! I'll defs be looking into harder trial papers/2001-04 HSC q's
Also, for part iii of this graphs question (2008 HSC), how did they get the part for g(2-x) for x<1 ??
Like what I did was flip the graph and move it 2 spaces to the right for the domain, but I don't end up getting the answer...
Thanks again!
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