Question

Which kind of function best models the set of data points (–1, 22), (0, 6), (1, –10), (2, –26), and (3, –42)?

linear **** quadratic exponential none of the above 2. Which kind of function best models the set of data points (–3, 18), (–2, 6), (–1, 2), (0, 11), and (1, 27)? linear
quadratic ******* exponential none of the above 3. What function can be used to model data pairs that have a common ratio? linear ****???
quadratic exponential none of the above I marked by them but I am not really sure on these

Answer 1

Which kind of function best models the set of data points (–1, 22), (0, 6), (1, –10), (2, –26), and (3, –42)?

LINEAR. I arrived at that conclusion after solving for the slope.

m = y1 - y2 / x1 - x2
m = 22 - 6 / -1 - 0 = 16/-1 = -16
m = 6 - (-10) / 0 - 1 = 16/-1 = -16
m = -10 - (-26) / 1 -2 = 16/-1 = -16

Which kind of function best models the set of data points (–3, 18), (–2, 6), (–1, 2), (0, 11), and (1, 27)? NONE OF THE ABOVE

3. What function can be used to model data pairs that have a common ratio? EXPONENTIAL