Question

Decide if each of the statement below are true or false based on the table of data below. Make sure to calculatethe first and second differences before making your choices. (2 points)7.f(x) First Difference325*Second Difference243886437004721049315 1612500TrueFalseStatementThe first differences are constantThe second differences are constantThe ratio of the first difference to the seconddifference is constantDם םם8. Based on your answers to +7 above, what type of function best represents the data in the table? Explain yourreasoning (1 point)

Answer 1

Step-by-step explanation

We can find the differences in the table below.

The first differences are the values gotten from subtracting the values in the f(x) column. While the second differences are the values gotten from subtracting the values in the first differences column.

The table can be seen below

Answer A

1) False

2) True

3) False

Answer B: Quadratic function

Reason: A quadratic sequence is a sequence of numbers in which the second difference between any two consecutive terms is constant. Since the second difference being a constant implies a quadratic difference, modeling the values will ultimately give a quadratic function