A part of the graph of the function is shown below: Answer the following questions. Explain why ‘f’…
Mathematics20254 marksLong answer
A part of the graph of the function $f(x) = 2x^3 - 3x^2 - 12x + 8, x \in \mathbb{R}$ is shown below:
Answer the following questions.
(a)
Explain why ‘f’ does not have an inverse.
(b)
The domain of ‘f’ is now restricted to $a \le x \le b$ where $a < 0$ and $b > 0$. $a$ and $b$ are chosen so that f has an inverse and the interval $[a, b]$ is as large as possible. Find the domain and range of $f^{-1}$.
