Define the real valued function f : R – 0 R defined by f(x)=1 x ,… - Vidyadip

Question

Define the real valued function f : R – {0} $\rightarrow$ R defined by $\begin{equation} f(x)=\frac{1}{x} \end{equation}$, x $\in$R – {0}. Complete the Table given below using this definition. What is the domain and range of this function?

x	–2	–1.5	–1	–0.5	0.25	0.5	1	1.5	2
$\begin{equation} y=\frac{1}{x} \end{equation}$	...	...	...	...	...	...	...	...	...

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Answer

The completed table is given by:

x	–2	–1.5	–1	–0.5	0.25	0.5	1	1.5	2
$\begin{equation} y=\frac{1}{x} \end{equation}$	– 0.5	– 0.67	–1	– 2	4	2	1	0.67	0.5

The domain is all real numbers except zero and its range is also all real numbers except zero. The graph of f is given in figure shown below:

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