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)=(1)/(x) \\ x=-5 \\ \mleft(\mright)=-(1)/(5)=-0.2 \\ x=-1 \\ ()=-(1)/(1)=-1 \\ x=2 \\ ()=(1)/(2)=0.5 \\ x=5 \\ ()=(1)/(5)=0.2 \end{gathered}`

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

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