explain how to write a function rule from the table below then write a function rule x 0,2,4,6 y 2,1,0,-1

Answer 1

To write a function rule from the given table, we need to determine the relationship between x and y.

From the table, we can see that as x increases by 2, y decreases by 1. This means that the rate of change of y with respect to x is -1/2.

We can use this information to write the function rule as:

y = -1/2x + b

where b is the y-intercept. To find the value of b, we can substitute the coordinates of any point in the table. Let's use the first point (0, 2).

2 = -1/2(0) + b

2 = b

Now we can substitute the value of b back into the function rule:

y = -1/2x + 2

Therefore, the function rule for the given table is y = -1/2x + 2.