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Graphs and Calculus (1 Viewer)
- Thread starter sasquatch
- Start date
It depends on what the question wants, usually they are specific, like "sketch this curve clearly labelling interecepts, critical points (POIs and max/min TPs) etc.". Also in an assessment or exam question, look at the number of marks to determine how much detail you need when sketching the curve.
In that case, I would suggest you label as much as you can, including stat points and any POIs, you can't lose marks for labelling more correctly, but you CAN lose marks for not marking important features. I know it can be very time confusing especially if the function is long. In exams/assessments, always label as much as you can, and that means all stat points and POIs, intercepts, vertical and horizontal asymptotes, the origin, the x and y axis, AND label the function itself so you don't lose marks for a lack of information in your sketch. 
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pLuvia
Guest
You are not going to get it wrong if you use calculus to find all those critical points. And Riviet just pretty much summed it up for you
acullen
Povo postgrad
Remember you can always sub in a value into the equation to test any point along the graph if you really want to be sure. For something like a min/max, just sub in a value for x just ~0.1 left/right of your value, if they both end up corresponding lesser/greater (which ever is appropriate), then your assumed value of the min/max, then you are most likely correct; if not, I'd re-evaluate the differentiations.
Mountain.Dew
Magician, and Lawyer.
remember it will depend upon the question. if they say u have to label turning pts, POIs', etc... then use calculus. otherwise, don't.sasquatch said:
most frequently, in the HSC, they will get u to differentiate the to-be-graphed function FIRST, before you graph it.
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pLuvia
Guest
Also if the second derivative is difficult to acquire then just use the conventional subbing from both sides method
acullen
Povo postgrad
Um, tell me where I told you how to differentiate, I don't believe I did???sasquatch said:
I simply gave you a hint that (if a simple mistake was made, it) could possibly give you extra marks in an exam, but if you're not interested in that... If you don't want help then don't ask for it.