Section 4 - Exponential functions
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Success Criteria
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VCAA Questions
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Index laws and solving equations:
- To be able to apply index laws to simplify expressions and solve simple equations.
- To be able to determine the solution to an exponential equation by equating the powers (or bases) of an equation.
- To be able to recognise a "hidden" quadratic structure to an equation and use an appropriate substitution to solve.
- To be able to solve exponential inequations with the assistance of a graph.
- To be able to sketch the graph of exponential functions by considering transformations.
- To be able to find key features of the graphs including axial intercepts and asymptotes.
- To be able to understand that a logarithm is the inverse of an exponential.
- To be able to apply logarithm laws to simplify expressions and solve equations.
- To be able to sketch the graph of logarithmic functions by considering transformations.
- To be able to find key features of the graphs including axial intercepts and asymptotes.
- To able to apply knowledge of circular functions to practical situations (including exponential growth and decay).
- To understand that modelling involves imprecision.
- To be able to understand the real world interpretations of features of the graphs.
Exponential functions - Worksheet A
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Exponential functions - Worksheet B
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Exponential functions - Worksheet C
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Exponential functions - Pretest A:
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