Mathematics: Analysis and Approaches · Topic 2: Functions

SL2.9 — Exponentials and logarithms

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Exponential functions

   The graphs of $f(x)=a^x$ and $f(x)=e^x$, with their horizontal asymptote.

2. Logarithmic functions

   The graphs of $f(x)=\log_a x$ and $f(x)=\ln x$, with their vertical asymptote.

3. Exponentials and logarithms as inverses

   The reflection relationship and the identities linking $a^x$, $e^x$ and $\log$.