2. (3 pts) Suppose we are trying to approximate the cube root of 3. How would we use interpolation to do it?

Choose two data points that lie on the curve f(x)=x^1/3 for instance, (1,1) and (8,2). Plug these two data points into the interpolation polynomial f(x)=b₀+b₁x and solve for b₀ and b₁.

3. (3 pts) What is the form of the polynomial found in Gregory-Newton Interpolation?

4. (2 pts) Using the method of undetermined coefficients, what is the interpolation polynomial that passes through the points (0,1) and (2,2)?