Question 1

Use extrapolation to approximate the the value of x = 3 for the given data (known to be linear):

(-1, 7), (0, 3), (1, 0), (2, -3)

Answer: -6.5

Question 2.

Use extrapolation to approximate the value of x = 3 for the given data (known to be of the form y(x) = c₁x².

(-2, 5), (-1, 1), (0, 0), (1, 2), (2, 4)

Answer: y = 39/34 ⋅ 3² ≈ 10.323.