Functions & Graphs in less than 26 minutes • A-Level Maths, Pure Year 2, Chapter 2 📚

[@Ani321-xy]

THANK YOU !!!! I HAVE MY MATHS MOCK ON MONDAY

[@BicenMaths]

Hope it goes well!

[@theopticalmaoam4938]

Jawad says thanks

[@Gherkin]

Hi sir! Just wondering for the last question, if needed in an exam or just in general, what would be the easiest way to sketch these types of graphs? I always find it difficult to find the horizontal asymptotes in comparison to the vertical ones, sometimes there is also more than one horizontal asymptote and it just trips me up

[@BicenMaths]

These kinds of graphs are actually very hard to sketch, and in an exam situation, I wouldn't confidently sketch this without my graphics calculator - you should make sure you can sketch the standard reciprocal type (1/x type). But this one is definitely more complicated! If you want to get better at graph sketching, there are probably some good KZbin videos on it, but it is a very sophisticated topic that often comes up a lot in entrance exams for top universities!

[@jefking2158]

Sir if i have a modulus function and it has a y-intercept. Should i set x=0 for the negated or normal modulus to find that y intercept?

[@BicenMaths]

It will depend on the particular function - so the best advice is just to sub x=0 into the modulus function, and if the part inside the modulus lines is negative, just make it positive and keep working it out! That'll then certainly give you the y-intercept. Hope that makes sense :)