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Topic 1: Exponential functions

Indices and index laws

4 hours

• Use indices (including negative and fractional indices) and the index laws.
• Convert radicals to and from fractional indices.
• Understand and use scientific notation.

Introduction to exponential functions

6 hours

• Recognise and determine the qualitative features of the graph of 𝑦 = 𝑟𝑥 (where 𝑟 > 0), including asymptote and intercept. 1 interactive
• Recognise and determine the effect of the parameters ℎ, 𝑘 and 𝑟 on the graph of 𝑦 = 𝑟(𝑥−ℎ) + 𝑘 (where 𝑟 > 0), with and without technology. 1 interactive
• Sketch the graphs of exponential functions, with and without technology.
• Solve equations involving exponential functions, with and without technology.
• Model and solve problems that involve exponential functions, with and without technology.