Question

The table below shows the values for the function

y = f(x).

Complete the table for the
function
y = f(1/5x).

Answer 1

Given:

The table of values of function
`y=f(x)` is given.

To find:

The table of values of function
`y=f((1)/(5)x)`.

Solution:

The horizontal stretch is defined as:

`g(x)=f(ax), 0<a<1`

Here, f(x) is horizontally stretched by factor a to get g(x).

The given function is:

`y=f((1)/(5)x)`

It means the function
`y=f(x)` is horizontally stretched by factor
`(1)/(5)` to get
`y=f((1)/(5)x)`.

So, we need to multiply the given x-values by 5 to get the required table of values.

Therefore, the required table of values is:

x y

-20 7

-5 -2

0 3

15 -4

30 5