What is the function rule for (-2,10/9),(-1,4/3),(0,2),(1,4),(2,10)?

Answer 1

Using your TI-84 Plus CE or equivalent, you can curve-fit the data points through a variety of options to try to find one with a perfect fit. It turns out a 4th degree polynomial works.

f(x) = 2/27x⁴ + 8/27x³ + 16/27x² + 28/27x + 2

Answer 2

Try y = 1 + 3^x