Question

The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10) represent a function. What is a rule that represents this function?

Answer 1

y=3x-2

Explanation:

The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7) and (4, 10) represent a linear function, because 1-(-2)=4-1=7-4=10-7=3.

The equation for the unknown linear function is y=ax+b.

Then

1. -2=a·0+b, b=-2;

2. 1=a·1+b, a=1-b=1-(-2)=3.

Therefore, the equation is y=3x-2.