Which sequence of y-values was formed from the function y = -2x - 9 using whole numbers for x?
We will substitute whole numbers for x.
Answer: The function y = -2x - 9 using whole numbers for x forms an arithmetic sequence with a common difference of -2.
Let's find the sequence of y-values.
For x = 0, y = -2(0) -9 = -9
For x = 1, y = -2(1) -9 = -11
For x = 2, y = -2(2) -9 = -13
For x = 3, y = -2(3) -9 = -15
As we continue substituting the values of x, note that the values of y are decreasing by 2 units than the previous term.
The above terms of y-values are just 2 less than their previous values, that is, the common difference between any two consecutive terms is -2.