The table below shows the values for the function y = f(x).

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

Given:

The table of values of function is given.

To find:

The table of values of function .

Solution:

The horizontal stretch is defined as:

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

The given function is:

It means the function is horizontally stretched by factor to get .

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

17,000 is the correct answer.