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VCE General & Further Maths Question Thread!

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abcdqdxD:
In graphs and relations, some questions ask you to deduce the form of the equation, i.e. y=kx^2

Problem is that for some equations, plotting a linear regression line, y against 1/x and y against x^2 looks EXTREMELY similar, i.e. they both look like they have a straight line, but one is not completely straight (but you can't tell if its due to the the pixel limitations of the CAS or it's actually not linear)

Is there another way to check whether the graph is linear other than observation through the CAS?

Professor Polonsky:
Not sure why that would happen - the rate of change for a y=kx^2 graph would be increasing - i.e. the differences between the y-values will be getting bigger. The opposite should happen with y=k/x.

abcdqdxD:
Hi,

For linear programming when you're asked to find the point that gives maximum profit within the feasible area, and none of the extreme points actually give maximum profit, how can you identify this?

I'm referring to VCAA Exam 2 2009 question 4 on Graphs and relations.

Thanks

b^3:
The extreme points don't fit the situation in this case, since you can't have half a flight for the situation. So in that case you would test the integer values that lie inside the feasible region and test which of those gives a maximum instead. Always check if what you're trying and the answer result you obtain fits the situation given :P

abcdqdxD:
Is it safe to say that the intersection will always give the maximum value in any objective function assuming decimals are accepted?

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