do we need to show oblique asymptopes (an asymptope that is 45degree in angle) when sketching or can we completeley ignore it?
e.g. (x^3 +1 )/(x^2) has an oblique asymptope, but is it fine to draw the general shape so that it looks like there is no oblique asymptope?
p.s. im talking about extension 2 maths curve sketching
Aren't you going to answer mr fantastic's question?
Generally, if you want an accurate graph, no, it isn't alright to ignore properties of the graph!
If your function is, in fact, (x^3+ 1)/x^2 then it is the same as x+ (1/x^2). 1/x^2 goes to 0 as x becomes large (either negative or positive) so the oblique asymptotes is y= x, the two ends being separated by the main graph.