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.

DO
Answered by Dáire O. Maths tutor

8819 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If z1 = 3+2i, z2= 4-i, z3=1+i, find and simplify the following: a) z1 + z2, b) z2 x z3, c)z2* (complex conugate of z2), d) z2/z3.


Prove the identity: (sinx - tanx)(cosx - cotx) = (sinx - 1)(cosx - 1)


Differentiate the following: y=sin(x^2+2)


How to translate a function of form y = f(x)


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