Find the function rule.
X -2 -1 0 1 2
Y 9 4 -1 -6 -11
To find the function rule, let's look for a pattern in the given data. By examining the values of X and Y, we notice that as X increases by 1, Y decreases by 5. This indicates a linear relationship between X and Y.
The formula for a linear function is usually represented as "Y = mx + b," where "m" is the slope and "b" is the y-intercept. In this case, since Y decreases by 5 for each unit increase in X, the slope "m" will be -5.
To find the y-intercept "b," we can substitute the coordinate point (0, -1) into the equation. By substituting the known values into the formula, we get:
-1 = -5(0) + b
Simplifying the equation, we find that b = -1.
Therefore, the function rule is Y = -5X - 1.