Sketch the function (x^4 + 2x^3 - x -2)/(x+2)

First of all determine the range of the function by looking at its denominator. The function is defined at each point except x=-2 Now to find the zeros of the function first factorise it and equate it to zero y=[( x3-1)(x+2)]/(x+2)=0 and notice how we can get rid of the denominator. Thus the only zero is at x=1. Now we realised that for every x different from -2 the function behaves exactly like (x3-1) which we sketch like a positive cubic shifted of 1 unit downwards. Leaving -2 hollow we conclude the sketch.

Answered by Matteo D. Maths tutor

2638 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to differentiate 2x^5-4x^3+x^2 with respect to x


Integrate, by parts, y=xln(x),


If y = 4x^3 - 6x^2 + 7 work out dy/dx for this expression


Show using mathematical induction that 8^n - 1 is divisible by 7 for n=1,2,3,...


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences