Question

In the inverse variation function, what happens to the output when the function's input value is divided in half

Answer 1

We know inverse variation function is y =
`(k)/(x)`

Here x is the input and y is the output.

when the function's input value is divided in half

x is divided in half so x becomes
`(x)/(2)`

Now replace x with
`(x)/(2)`

y =
`(k)/(x)`

y =
`(k)/((x)/(2))`

y =
`k * (2)/(x)`

y=
`(k)/(x) * 2`

From this we can see that output y is doubled

when the function's input value is divided in half, then the output is doubled.