Question

What is the rule for Aaliyah’s machine? Try to write the rule as an equation.

x
f(x)
1
3
2
5
3
7
4
9

Answer 1

f(x) = 2x +1

Explanation:

Apparently the ordered pairs are ...

(x, f(x)) = (1, 3), (2, 5), (3, 7), (4, 9)

We note that as x increases by 1, the value of f(x) increases by 2. The difference between f(x) and 2x is 3-2·1 = 1, so we have ...

f(x) -2x = 1

f(x) = 2x +1 . . . . . . add 2x