how do i sketch the graph of y=ln(|x|) ?

To sketch any modulus function, we begin with the sketch of the function itself, y=ln(x). Notice that the question asks for the graph of y=ln(|x|) and not y=|ln(x)|, this is an important distinction.recall that the absolute value always returns a positive value, regardless of the entry, so |x| is always positive, regardless of the sign of the x input. i.e. for x=-1, y=ln|-1|=ln(1), which is the same result as for x=1.so, the graph of y=ln(|x|) is the graph of y=ln(x) for x>0 and the reflection of this graph in line x=0, for x<0.

Answered by Dáire O. Maths tutor

7771 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to integrate ln(x)


A particle of mass m is placed on an slope with an incline 30 degrees. Once released it accelerates down the line of greatest slope at 2 m s^-2. What is the coefficient of friction between the particle and the slope?


How can you find the coefficients of a monic quadratic when you know only one non-real root?


Integrate (x^2 +2)(2x-6) with respect to x.


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