MYP 5Year 11Term 2
11.6 Exponential and Logarithmic Functions
Exponential shape and asymptote · Growth and decay · Depreciation and compound interest · Contextual meaning of parameters · [EXT] Index laws for rational indices · [EXT] Introduction to logarithms, log laws and log equations
Functions
10 objectives
Learning objectives
What students should be able to do by the end of this unit.
Exponential Functions
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- Understand the shape of an exponential function $y = a \cdot b^x$ and identify key intercepts and the horizontal asymptote.
- Explore exponential graph transformations (vertical shift, reflection, dilation).
- Solve real-life problems involving exponential growth and decay.
- Solve depreciation and compound-interest problems.
- Interpret the contextual meaning of the parameters $a$ and $b$ in $y = a \cdot b^x$.
- Use technology to solve basic exponential equations.
Indices and Logarithms (Extended)
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- Apply index laws for rational indices, including $a^{m/n} = \sqrt[n]{a^m}$.EXT
- Convert between exponential and logarithmic form: $a^x = y \Leftrightarrow \log_a y = x$.EXT
- Apply the logarithm laws: product, quotient and power.EXT
- Solve logarithmic and exponential equations algebraically.EXT
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.