Answer:
- {(0,1),(1,2),(2,3),(3,4)}
- {(0,4),(1,6),(3,10),(5,14)}
Step-by-step explanation:
When x-differences are the same, y-differences will be the same for a linear function. When they are not the same, they will be proportional for a linear function.
{(0,1),(1,2),(2,3),(3,4)} - x-differences are all the same; y-differences are all 1 (linear, y=x+1)
{(0,0),(1,1),(2,4),(3,9)} - x-differences are all the same; y-differences increase (this is a quadratic function: y=x^2)
{(1,1),(2,8),(3,27),(4,64)} - x-differences are all the same; y-differences increase (this is a cubic function: y=x^3)
{(0,4),(1,6),(3,10),(5,14)} - x-differences are 1, 2, 2; y-differences are 2, 4, 4, so are proportional to (double) the x-differences (linear; y=2x+4)
