Graphing Logarithmic Functions Using Desmos | Domain, Asymptotes and Sketching

This resource supports students in graphing logarithmic functions using Desmos, with a strong focus on mathematical understanding rather than button-pressing.

Through the function

f(x)=log(x²−4x+3)

learners explore how domain restrictions affect the graph and why logarithmic graphs can have separate branches.

Students will:

Use Desmos to plot logarithmic expressions

Identify where the function is defined

Locate vertical asymptotes

Describe graph behaviour clearly

Translate calculator output into accurate sketches

Suitable for:
✔ Secondary mathematics
✔ GCSE extension
✔ A-Level preparation
✔ International curricula
✔ EAL / lower-attaining learners

Clear, visual, and ideal for revision, demonstration, or independent learning.

logarithmic graphs, desmos maths, graphing logarithms, secondary maths functions, domain and asymptotes, sketching graphs, a level logarithms, maths revision