Which function rule represents the data in the table?
X -3, -2, -1, 0, 1
Y 1, -2, -5, -8, -11
y = -3x - 8
y = 1/3x - 8
y = 1/3x + 8
y = 3x + 8
Show your work.
To find the function rule, we need to see the relationship between X and Y. We can observe that for every increase in X by 1, Y decreases by 3. This tells us that the function is linear and has a slope of -3.
Using the point-slope formula, we can find the y-intercept of the function. Choosing the point (-3, 1) from the table, we have:
y - 1 = -3(x - (-3))
y - 1 = -3x - 9
y = -3x - 8
Therefore, the function rule that represents the data in the table is y = -3x - 8. Option A.