Question

Find the relationship between x and f(x) in the table below and write the equation

x- 9, 1, 100, 4, 49, ___, 0, 25, 20,
f(x)- __, 1, __, __, 7, 4, __, 5, __

Answer 1

The answer you are looking for is f(x) = x^2 (x squared).

To find this, you look at a common places within each sequence (x = 1; f(x) = 1, x = 49 f(x) = 7, etc). When f(x) = 1; x = 1 and when f(x) = 7; x = 49. With this information, you figure out what you'd multiply to each f(x) value to get the x value. Thus meaning f(x) = x^2.

I hope this helps!