Explain how to write a function rule from the table below then write a function rule

Question

X 0,2,4,6
Y 2,1,0,-1

Answer 1

Function rule: f(x) = -1/2x + 2

The function rule can be written as f(x) = -1/2x + 2, which can be determined by looking at the table. The x values increase by 2 each time, and the y values decrease by 1 each time. This means that the rate of change for the function is -1/2. Therefore, the function rule is f(x) = -1/2x + 2.