Question

The graph of the function()=1/ has origin symmetry as well as which of the following symmetries?A. y-axisB. x-axisC. y=x

Answer 1

$\begin{gathered} \mleft(\mright)=\frac{1}{x} \\ x=-5 \\ \mleft(\mright)=-\frac{1}{5}=-0.2 \\ x=-1 \\ ()=-\frac{1}{1}=-1 \\ x=2 \\ ()=\frac{1}{2}=0.5 \\ x=5 \\ ()=\frac{1}{5}=0.2 \end{gathered}$

We will graph a plot of this expression, we have:

$undefined$

The graph is neither symmetric to the x-axis nor the y-axis. Hence, y = x