Sketch graphs of: i. x^2 + y^2 = 1, ii. x^3 + y^3 = 1, iii. x^100 + y^100 = 1, iv. x^99 + y^99 = 1. Any generalisations?

i. A circle of radius 1 centred on the origin.ii. No longer restricted to -1 <= x,y <= 1, so its a quarter circle, then it goes off to infinity towards the asymptote x = -y.iii. Restricted to that range again, due to the even power. Sharper corners due to higher power. Looks like a square.iv. Similar to (ii) due to odd power, but due to higher power the turns are sharper.

SV
Answered by Shreyas V. Oxbridge Preparation tutor

1526 Views

See similar Oxbridge Preparation Mentoring tutors

Related Oxbridge Preparation Mentoring answers

All answers ▸

How would I approach a question on an unseen text?


What should I be reading for my interview?


What are Oxford interviewers looking for?


What are the key tips you would give me before my science based Oxbridge interview?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning