Find the function rule.
x -2 -1 0 1 2
y 9 4 -1 -6 -11
looks like for every increase of 1 in the x, the y decreases by 5
so the slope = change in y/change in x = -5
notice (0,-1) is the y-intercept, so
y = -5x - 1
The function rules is:
y = -5x - 1
9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1
To find the function rule, we need to determine the relationship between the x-values and the y-values. Looking at the given data:
x: -2, -1, 0, 1, 2
y: 9, 4, -1, -6, -11
We can see that for each x-value, the corresponding y-value is obtained by subtracting 5. In other words, each y-value is 5 less than the x-value.
Therefore, the function rule can be written as:
y = x - 5