The function $y=\mathrm{f}\left( x \right)$ is a one-to-one function. The graphs of \(y=\mathrm{f}

Question

The function $y=\mathrm{f}\left( x \right)$ is a one-to-one function. The graphs of $y=\mathrm{f}\left( \left| x \right| \right)$ and $y=\left| \mathrm{f}\left( x \right) \right|$ are shown below in Figure 1 and 2 respectively. State the range of values of $x$ for which $\mathrm{f}\left( x \right)\le 0$.[1] State the equation(s) of the asymptote(s) of the graph of $y=\frac{1}{\mathrm{f}\left( x \right)}$.[2]

Accepted Answer

(a) $0\le x<2$. (b) $x=0$ and $y=\frac14$.

2023 HCI Promo Q2

2023 HCI Promo Q2

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