I have been trying to work this out but just cant.
Find the function rule.
X -2 -1 0 1 2
Y 9 4 -1 -6 -11
Thanks,
~JH
Ms. Sue can you help?
Ok thanks anyway
To find the function rule, you need to look for a pattern or relationship between the values of x and y. One way to do this is to compute the differences between consecutive values of x and y.
Let's calculate the differences:
For x: -2 - (-1) = -1
For y: 9 - 4 = 5, 4 - (-1) = 5, -1 - (-6) = 5, -6 - (-11) = 5
From these calculations, we can see that the differences between consecutive values of x and y are constant, equal to 5.
Now, let's write down the pattern in terms of x and y:
x: -2, -1, 0, 1, 2
y: 9, 4, -1, -6, -11
If we subtract 1 from x, we get -3, -2, -1, 0, 1, and if we subtract 5 from y, we get 4, -1, -6, -11, -16. Notice that these new values also follow a constant difference of 5.
Now, let's calculate the y-intercept (the value of y when x is 0):
y - mx + b, where m is the slope and b is the y-intercept
Using the values of x = 0 and y = -1, we can calculate the y-intercept:
-1 = 0 * 5 + b
b = -1
So, the function rule can be written as:
y = 5x - 1
Therefore, the function rule for this set of data is y = 5x - 1.