I need to write a full for the function.

x = 4,5,6,7
y = 0,2,4,6

y=4*0

what do you mean by "write a full" ?

Note that as x grows by 1, y grows by 2. SO, start wity

y = 2x

Now adjust that so that the values agree with those in the table.

I need to write a rule

for each pair

x y
4 0
5 2
6 4

thank you Steve for helping me. I figured it out.

2x-8=y is the rule

correct

To write a full formula for the function, we need to find the relationship between the values of x and y. Given the pairs of values (x,y) = (4,0), (5,2), (6,4), and (7,6).

We can observe that the value of y is equal to 2 times the value of x minus 8. We can express this relationship symbolically as follows:

y = 2x - 8

To verify this formula, let's substitute the given values of x and calculate the corresponding values of y:

For x = 4:
y = 2(4) - 8 = 8 - 8 = 0, which matches the given value of y.

For x = 5:
y = 2(5) - 8 = 10 - 8 = 2, which also matches the given value of y.

For x = 6:
y = 2(6) - 8 = 12 - 8 = 4, again matching the given value of y.

Finally, for x = 7:
y = 2(7) - 8 = 14 - 8 = 6, as expected, matching the given value of y.

Therefore, the full formula for the function is y = 2x - 8.