Determine the graph of the given parent function. And use it to describe the graph of each related function. `f(x) = 1/x` a) ` y = 1/-x` b)  `y = 2/x` c)  `y = 1/x -3` d) ` y = 1/x   +1`

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aruv | High School Teacher | (Level 2) Valedictorian

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1.`f(x)=1/x`

It is rectangular hyperbola with centre at (0,0). The area enclosed by curve and axes is 1 sq unit.

a. `y=-1/x`

As x approaches infinite , y approaches to 0 and as x aproaches to 0, y approaches to negative infinite. It is graph of rectangular hyperbola. The area enclosed between curve and axes is 1 sq. unit.Its centre at (0,0).

b. `y=2/x`

As x approaches infinite , y approaches to 0 and as x aproaches to 0, y approaches to  infinite. It is graph of rectangular hyperbola. The area enclosed between curve and axes is 2 sq. unit. Its centre at (0,0).

c. `y=1/x-3`

As x approaches infinite , y approaches to -3 and as x aproaches to 0, y approaches to  infinite. It is graph of rectangular hyperbola. Centre shifted to (0,-3) .

d.`y=1/x+1`

As x approaches infinite , y approaches to 1 and as x aproaches to 0, y approaches to  infinite. It is graph of rectangular hyperbola. Centre shifted to (0,1) .

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