The function given is y = 2x + 9. To discover the sequence of y values generated by this function, we can substitute different whole number values for x.
Let’s calculate the y values for the first few whole numbers:
- When x = 0:
y = 2(0) + 9 = 0 + 9 = 9 - When x = 1:
y = 2(1) + 9 = 2 + 9 = 11 - When x = 2:
y = 2(2) + 9 = 4 + 9 = 13 - When x = 3:
y = 2(3) + 9 = 6 + 9 = 15 - When x = 4:
y = 2(4) + 9 = 8 + 9 = 17
Continuing this pattern, we can see that for each increase of 1 in x, y increases by 2. Therefore, starting from y = 9, the sequence of y values generated by the function is:
9, 11, 13, 15, 17, …
This sequence continues indefinitely as x increases since we are only limited by the whole numbers we choose for x. In conclusion, the sequence represented by y = 2x + 9 when using whole numbers for x forms a linear pattern.