2022 CJC J1 MYE Q8
The functions $\text{g}$ and $\text{h}$ are defined as
$\text{g}:x\to \left\{ \begin{matrix}
4{{\left( x+1 \right)}^{2}}\text{ for }x\in \mathbb{R}\text{, }-3\le x<0, \\
4x+4\text{ for }x\in \mathbb{R}\text{, }0\le x<3. \\
\end{matrix} \right.$
$\text{h}:x\mapsto 2\cos x$, $x\notin \mathbb{R}$, $0\le x\le \frac{\pi }{2}$.
(i)
Prove that the function $\text{gh}$ exists and find the range of $\text{gh}$.
[3]
Suppose now that $\text{g}\left( x \right)=\text{g}\left( x+6 \right)$ for all real values of $x$.
(ii)
Find the values of $\text{g}\left( 56 \right)$ and $\text{g}\left( 99 \right)$.
[2]
(iii)
Sketch the graph of $y=\text{g}\left( x \right)$ for $-3\le x\le 8$.
[3]
Suggested Video and Handwritten Solutions
Our H2 Math Tuition includes
- Question Bank with Video solutions to 1400+ questions
- Online Portal
- H2 Math Summary Notes
- Structured Curriculum and Notes
Share with your friends!
- No charge
- Unsubscribe anytime
Continue reading
Maximizing June Holidays: Is Joining a Crash Course Necessary?
As June holidays approach, students find themselves at a crucial juncture in their academic journey. With the semester winding down and exams looming on the horizon, the pressure to excel
5 Exam Preparation Tips: How We Help Students Excel in Exams
In the ever-evolving landscape of education, where academic success is often measured by performance in exams, the need for effective test preparation has never been more critical. Students face a
List MF 27
What is the MF 27? The MF 27, set to replace the MF 26 from 2025, is a comprehensive formula sheet developed by the Ministry of Education Singapore in collaboration