ZIMSEC A-Level Pure Mathematics
6.1.4Functions: logarithmic, exponential, rational and modulus functions
Functions: logarithmic, exponential, rational and modulus functions in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic76 practice questions4 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 6.1.4.1Form 5: define a function as a mapping and sketch simple graphs of functions for a given domain.
- 6.1.4.2Form 5: explain exponential growth and decay and model situations with them.
- 6.1.4.3Form 5: solve equations of the form aˣ = b and inequalities aˣ < b or aˣ > b using logarithms.
- 6.1.4.4Form 5: use logarithms to transform a given relationship to linear form and find unknown constants.
- 6.1.4.5Form 5: describe the meaning of the absolute value notation and solve equations and inequalities involving the modulus.
Lessons
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Exponential and logarithmic functions: e^x and ln x
40 min
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Laws of logarithms and equations with unknown indices
40 min
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Reducing relationships to linear form
40 min
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The modulus function: graphs, equations and inequalities
40 min
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Sample question
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