IB Maths AA SL 2.9 - Exponential and Logarithmic Functions

This IB Maths AA SL Topic 2.9 – Exponential and Logarithmic Functions resource introduces students to the key features of exponential and logarithmic functions and develops confidence in describing, sketching, and analysing their graphs. It begins by defining exponential functions, including their domain, range, horizontal asymptote, intercepts, and the special role of (e^x), before extending this understanding to logarithmic functions as inverses of exponential functions. Students are guided through domain restrictions, vertical asymptotes, intercepts, and the graphical relationship between exponential and logarithmic functions.

The lesson also builds fluency with key exponential and logarithmic identities, including a^x=e^x* ln (a), inverse relationships, and the change of base formula. Students practise solving logarithmic and exponential equations exactly, identifying features of transformed logarithmic graphs, and applying exponential models to real-world population growth problems. With clear explanations, worked examples, graph interpretation, structured practice questions, common exam mistake guidance, and fully worked solutions, this resource helps SL students build a strong foundation in exponential and logarithmic functions in line with IB Mathematics AA expectations.