Maths help please? (1 Viewer)

[MiseryParade]

If you ever are stuck on a D & R question, I suggest you quickly make a rough tiny sketch somewhere.

Doing this will allow you to see both the D & R quite clearly. Yes, time is wasted, but marks are not wasted.

Discontinuity refers to where there are no x-values for a function. So a 0 in the denominator for hyperbolas (which cause the asymptotes to appear) results in discontinuity, Piece-meal functions, A semi-inverse parabola (y= sqrt x) where the x inside the square root cannot be negative etc.

Thanks guys. (piece-meal functions wut) I'm starting to think I'm going to fail the functions part of my exam.... Horizontal + oblique asymptotes aren't part of 2U, right?

 

[theind1996]

Thanks guys. (piece-meal functions wut) I'm starting to think I'm going to fail the functions part of my exam.... Horizontal + oblique asymptotes aren't part of 2U, right?

Horizontal are, Oblique aren't.

Piece meal functions are:

And if you're ever confused (and have time in an exam) regarding the shape of a graph, find the y-intercept, substitute points on either side of the x-intercepts and between the x-intercepts (similar to Critical Points method), and draw the curve quickly so have an idea as to the Domain, Range as well as x-intercepts, y-intercept, Discontinuity/ies, Asymptotes.

 

[theind1996]

This.

In simple terms, continuous - you never need to lift your pen off the page to draw it (e.g. parabola)
discontinuous - you need to lift your pen off the page due to stuff like asymptotes. (e.g. hyperbola)

lul

HAHA yea, I never thought of that, although that's not always applicable, (e.g y = sqrt x).

 

[RivalryofTroll]

Thanks guys. (piece-meal functions wut) I'm starting to think I'm going to fail the functions part of my exam.... Horizontal + oblique asymptotes aren't part of 2U, right?

Oblique rarely appears. I don't think it should appear at all.
H.A and V.A should be both in 2U and 3U.

 

[RivalryofTroll]

HAHA yea, I never thought of that.

Credits to Yahoo Answers!

 

[bleakarcher]

So does largest possible domain refer to the set of all positive x or wut?

lol, i dont even know

 

[theind1996]

So does largest positive domain refer to the set of all positive x or wut?

lol, i dont even know

OMG our maths prodigy doesn't know?! AFAIK, it's the same as the regular domain.

 

[RealiseNothing]

For question 2 i got 2^(4n-2) x 3^(6n-2)

It's