Differentiation - Increasing and Decreasing Functions
Differentiation - Increasing and Decreasing Functions
TGM Original Questions
A function has the equation \(f(x) = \frac{4 - 6x}{2x - 1}.\)
- Find the range of values of \(x\) for which the function to be valid.
- Explain why the graph of \(f(x)\) does not have a stationary point.
- Hence state whether \(f(x)\) is an increasing or decreasing function.
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Answer:(i) \(x\ne\dfrac12\) (ii) \(f'(x)=-\dfrac{2}{(2x-1)^2}\ne0\) (iii) Decreasing on each interval \(x<\dfrac12\) and \(x>\dfrac12\)
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