Find the function rule...
(X) -2, -1, 0, 1, 2
(Y) 9, 4, -1, -6, -11
This is my first question ever.......
x changes by 1, y changes by -5
So, look for something like
y = -5x
Now adjust that so it fits.
Thank you Steve...
To find the function rule, we need to identify the relationship between the X-values and Y-values.
Looking at the given data:
(X) -2, -1, 0, 1, 2
(Y) 9, 4, -1, -6, -11
If we observe the pattern, we can see that for each X-value, the Y-value decreases by 5.
We can simplify the given data into an equation by subtracting 5 for each X-value:
(X) -2, -1, 0, 1, 2
(Y) 14, 9, 4, -1, -6
Now, we can see that for each X-value, the Y-value is 5 times the opposite of the X-value, plus 4.
So, the function rule for this dataset is:
Y = -5X + 4
This means that Y is equal to -5 times X, plus 4.
To verify this function rule, you can substitute any X-value into the equation and check if you get the corresponding Y-value. For example, if you substitute X = -2 into the equation, you should get Y = 9.